Finding the Fourth Proportional to 144,002,731.04, 198,724,295.76 and 77,923,229.99
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Solution
The fourth proportional to 144,002,731.04, 198,724,295.76 and 77,923,229.99 is: 107,534,342.52
Step by Step Solution
- Step 1: Write the proportion equation
144,002,731.04 : 198,724,295.76 = 77,923,229.99 : x - Step 2: Convert to fraction form
144,002,731.04/198,724,295.76 = 77,923,229.99/x - Step 3: Cross multiply
144,002,731.04x = 198,724,295.76 × 77,923,229.99 - Step 4: Simplify right side
144,002,731.04x = 15,485,239,003,107,260 - Step 5: Solve for x
x = 15,485,239,003,107,260/144,002,731.04 - Step 6: Final answer
x = 107,534,342.52
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.