Finding the Fourth Proportional to 31,129,105.20, 46,693,657.80 and 13,213,201.20
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Solution
The fourth proportional to 31,129,105.20, 46,693,657.80 and 13,213,201.20 is: 19,819,801.80
Step by Step Solution
- Step 1: Write the proportion equation
31,129,105.20 : 46,693,657.80 = 13,213,201.20 : x - Step 2: Convert to fraction form
31,129,105.20/46,693,657.80 = 13,213,201.20/x - Step 3: Cross multiply
31,129,105.20x = 46,693,657.80 × 13,213,201.20 - Step 4: Simplify right side
31,129,105.20x = 616,972,695,275,349.25 - Step 5: Solve for x
x = 616,972,695,275,349.25/31,129,105.20 - Step 6: Final answer
x = 19,819,801.80
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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.