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Finding the Fourth Proportional to 288,502.38, 432,755.22 and 78,142.14

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Solution

The fourth proportional to 288,502.38, 432,755.22 and 78,142.14 is: 117,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,502.38 : 432,755.22 = 78,142.14 : x
  2. Step 2: Convert to fraction form
    288,502.38/432,755.22 = 78,142.14/x
  3. Step 3: Cross multiply
    288,502.38x = 432,755.22 × 78,142.14
  4. Step 4: Simplify right side
    288,502.38x = 33,816,418,986.97
  5. Step 5: Solve for x
    x = 33,816,418,986.97/288,502.38
  6. Step 6: Final answer
    x = 117,213.66

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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.