Bala means strength and rama means enjoyment. So Balarama means who gives you spiritual strength for enjoying eternal blissful life, He is Balarama.

(Srila Prabhupada at San Francisco Rath-yatra)
The dust of Krsna's lotus feet, which is the source of holiness for all places of pilgrimage, is worshiped by all the great demigods. The principal deities of all planets are e ngaged in His service, and they consider themselves most fortunate to take the dust of the lotus feet of Krsna on their crowns. Great demigods like Lord Brahma and Lord Siva, and even the goddess of fortune and I, are simply parts of His spiritual identity, and we also carefully carry that dust on our heads.
(Lord Balarama,Srimad-Bhagavatam 10.68.37)