Inertia is measured in meters to the fourth power because it involves geometric moments, similar to how classical inertia moment is calculated using mass and distance squared (Kg m²). This measurement reflects the distribution of area rather than mass, emphasizing the relationship between distance and the geometric properties of an object. The mathematical definition of moments allows for the application of this concept to various distributions, including mass and area. Understanding inertia in this context provides insights into how the distribution affects the body's behavior. The discussion highlights the importance of recognizing the underlying principles of geometry in calculating inertia.