Rangers closed the gap on leaders Celtic to just four points with a comfortable win at Almondvale.
Goals from Peter Lovenkrands, Nacho Novo, Steven Thompson and Hamed Namouchi took the match out of Livingston's reach.
Rangers seized control from the start and had Livingston on the back foot almost immediately.
Namouchi managed to get his head to a Lovenkrands cross but failed to get his effort on target.
Fernando Ricksen then fired a free-kick against the defensive wall but the ball bounced wide.
From the resultant corner Jean-Alain Boumsong had a free header but could not keep it down and Livingston were given a reprieve.
Livingston made their intentions clear as they packed the midfield and tried to deny Rangers space.
It worked to an extent as Rangers did not have things all their own way in an untidy first half.
Roddy McKenzie made a superb one-handed save to stop Novo's header from Gregory Vignal's cross and Oscar Rubio scooped away the loose ball before Rangers could take full advantage.
Vignal was then wayward with a long-range effort which did not trouble McKenzie as Rangers sought the opener.
Stefan Klos did not have a direct save to deal with in the first half with only Jim Hamilton up front for Livingston.
Burton O'Brien tried his luck with a free-kick but shot against the defensive wall on a rare moment when the home side threatened.
Rangers made the breakthrough eight minutes before half-time. Boumsong managed to get on the end of another Ricksen corner and the ball broke for Lovenkrands to fire a left-foot shot high into the net.
Novo wasted a good chance to increase Rangers' advantage a couple of minutes later when Thompson put him through but he shot across the face of goal with McKenzie exposed.
Novo had another chance within seconds of the restart but sliced his effort well wide.
Namouchi had an even better chance after a mix-up in the home defence but McKenzie managed to get a touch to send the ball onto the crossbar and over.
But Livingston again failed to deal with a corner and Novo was left unguarded at the back post as he steered in a five-yard volley to make it 2-0.
Livingston wasted no time in changing things as Allan Preston sent on another striker, Marc Libbra, in place of the holding midfielder Will Snowdon.
The switch paid dividends when Klos failed to deal with a cross and even though the ball fell behind Craig Easton, he had the presence of mind to produce an overhead kick as he hooked the ball into the net.
But any hope Livingston had of securing a point were effectively over in the 68th minute when Ricksen's flag-kick was headed powerfully into the net by Thompson for Rangers' third goal.
Namouchi sealed the win with seven minutes left when he beat the offside trap to side-foot a low shot past McKenzie.