Hibernian failed to provide Rangers with any significant test during the visitor's third trip to Easter Road this season.
Rangers kick-started their final end-of-season run-in by scoring three times in a comfortable win against Hibernian.
James Tavernier opened the scoring with a 32nd minute strike to put Michael Beale's side in firm control of the tie.
His strike was backed up by second-half goals from Ianis Hagi and former Norwich City star Todd Cantwell who has thrived in his first season north of the border.
Hibernian centre-back Paul Hanlon scored a late consolation as Rangers recorded their 28th victory of the Scottish top-flight season.