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Finding the Fourth Proportional to 261,179.86, 391,769.88 and 71,642.20

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Solution

The fourth proportional to 261,179.86, 391,769.88 and 71,642.20 is: 107,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,179.86 : 391,769.88 = 71,642.20 : x
  2. Step 2: Convert to fraction form
    261,179.86/391,769.88 = 71,642.20/x
  3. Step 3: Cross multiply
    261,179.86x = 391,769.88 × 71,642.20
  4. Step 4: Simplify right side
    261,179.86x = 28,067,256,096.94
  5. Step 5: Solve for x
    x = 28,067,256,096.94/261,179.86
  6. Step 6: Final answer
    x = 107,463.32

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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.