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Finding the Fourth Proportional to 231,443.97, 319,377.60 and 129,451.74

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Solution

The fourth proportional to 231,443.97, 319,377.60 and 129,451.74 is: 178,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,443.97 : 319,377.60 = 129,451.74 : x
  2. Step 2: Convert to fraction form
    231,443.97/319,377.60 = 129,451.74/x
  3. Step 3: Cross multiply
    231,443.97x = 319,377.60 × 129,451.74
  4. Step 4: Simplify right side
    231,443.97x = 41,343,986,037.02
  5. Step 5: Solve for x
    x = 41,343,986,037.02/231,443.97
  6. Step 6: Final answer
    x = 178,634.97

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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.