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Finding the Fourth Proportional to 71,939.88, 107,909.82 and 30,387.24

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Solution

The fourth proportional to 71,939.88, 107,909.82 and 30,387.24 is: 45,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,939.88 : 107,909.82 = 30,387.24 : x
  2. Step 2: Convert to fraction form
    71,939.88/107,909.82 = 30,387.24/x
  3. Step 3: Cross multiply
    71,939.88x = 107,909.82 × 30,387.24
  4. Step 4: Simplify right side
    71,939.88x = 3,279,081,598.70
  5. Step 5: Solve for x
    x = 3,279,081,598.70/71,939.88
  6. Step 6: Final answer
    x = 45,580.86

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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.