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Finding the Fourth Proportional to 231,662, 319,691.40 and 131,060

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Solution

The fourth proportional to 231,662, 319,691.40 and 131,060 is: 180,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,662 : 319,691.40 = 131,060 : x
  2. Step 2: Convert to fraction form
    231,662/319,691.40 = 131,060/x
  3. Step 3: Cross multiply
    231,662x = 319,691.40 × 131,060
  4. Step 4: Simplify right side
    231,662x = 41,898,754,884
  5. Step 5: Solve for x
    x = 41,898,754,884/231,662
  6. Step 6: Final answer
    x = 180,861.58

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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.