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Finding the Fourth Proportional to 231,805.17, 347,757.70 and 71,877.88

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Solution

The fourth proportional to 231,805.17, 347,757.70 and 71,877.88 is: 107,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,805.17 : 347,757.70 = 71,877.88 : x
  2. Step 2: Convert to fraction form
    231,805.17/347,757.70 = 71,877.88/x
  3. Step 3: Cross multiply
    231,805.17x = 347,757.70 × 71,877.88
  4. Step 4: Simplify right side
    231,805.17x = 24,996,085,870.29
  5. Step 5: Solve for x
    x = 24,996,085,870.29/231,805.17
  6. Step 6: Final answer
    x = 107,832.31

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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.