Finding the Fourth Proportional to 83,160,656.86, 124,653,020.97 and 31,322,830.09
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Solution
The fourth proportional to 83,160,656.86, 124,653,020.97 and 31,322,830.09 is: 46,951,112.98
Step by Step Solution
- Step 1: Write the proportion equation
83,160,656.86 : 124,653,020.97 = 31,322,830.09 : x - Step 2: Convert to fraction form
83,160,656.86/124,653,020.97 = 31,322,830.09/x - Step 3: Cross multiply
83,160,656.86x = 124,653,020.97 × 31,322,830.09 - Step 4: Simplify right side
83,160,656.86x = 3,904,485,396,048,517 - Step 5: Solve for x
x = 3,904,485,396,048,517/83,160,656.86 - Step 6: Final answer
x = 46,951,112.98
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.