Since the inception of the Fine-Structure Constant (α), for the last hundred years, scientists have been trying to explain its origin using other mathematical constants, as it is considered as one of the fundamental constants of nature as well as it is dimensionless. The value is very nearly equal to 1/(137.036) and for reasons of convenience, the reciprocal value of the fine-structure constant is often specified. The 2018 CODATA recommended value is given by α-1 = 137.035999084 [1]. In this article, a simpler way was devised to obtain the inverse of this cosmological constant, with no more care given to physical dimensional analysis by using the mathematical constants listed below: Fibonacci Series: 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987Golden Ratio (Φ) = 1.6180339887498948482045868343656381177Euler Number (e) = 2.718281828459045235360287471352662497Pi(π) = 3.14159265358979323846264338327950288419716939937