To find: Four geometric Mean

Given: The numbers 6 and 192

Formula used: (i) r , where n is the number of

geometric mean

Let G₁, G_2, G₃ and G₄ be the three geometric mean

Then r

⇒ r

⇒ r

⇒ r

⇒ r = 2

G₁ = ar = 6×2 = 12

G₂ = ar²= 6×2² = 24

G₃ = ar³= 6×2³ = 48

G₄ = ar⁴= 6×2⁴ = 96

Four geometric mean between 6 and 192 are 12, 24, 48 and 96.