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Finding the Fourth Proportional to 231,807.91, 347,711.87 and 126,569.47

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Solution

The fourth proportional to 231,807.91, 347,711.87 and 126,569.47 is: 189,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,807.91 : 347,711.87 = 126,569.47 : x
  2. Step 2: Convert to fraction form
    231,807.91/347,711.87 = 126,569.47/x
  3. Step 3: Cross multiply
    231,807.91x = 347,711.87 × 126,569.47
  4. Step 4: Simplify right side
    231,807.91x = 44,009,707,098.61
  5. Step 5: Solve for x
    x = 44,009,707,098.61/231,807.91
  6. Step 6: Final answer
    x = 189,854.21

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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.