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Finding the Fourth Proportional to 231,242.49, 319,123.94 and 134,445.87

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Solution

The fourth proportional to 231,242.49, 319,123.94 and 134,445.87 is: 185,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,242.49 : 319,123.94 = 134,445.87 : x
  2. Step 2: Convert to fraction form
    231,242.49/319,123.94 = 134,445.87/x
  3. Step 3: Cross multiply
    231,242.49x = 319,123.94 × 134,445.87
  4. Step 4: Simplify right side
    231,242.49x = 42,904,895,078.90
  5. Step 5: Solve for x
    x = 42,904,895,078.90/231,242.49
  6. Step 6: Final answer
    x = 185,540.71

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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.