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Finding the Fourth Proportional to 231,414.81, 319,320.52 and 129,435

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Solution

The fourth proportional to 231,414.81, 319,320.52 and 129,435 is: 178,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,414.81 : 319,320.52 = 129,435 : x
  2. Step 2: Convert to fraction form
    231,414.81/319,320.52 = 129,435/x
  3. Step 3: Cross multiply
    231,414.81x = 319,320.52 × 129,435
  4. Step 4: Simplify right side
    231,414.81x = 41,331,251,506.20
  5. Step 5: Solve for x
    x = 41,331,251,506.20/231,414.81
  6. Step 6: Final answer
    x = 178,602.45

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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.