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Finding the Fourth Proportional to 138,124.71, 207,257.84 and 81,281.24

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Solution

The fourth proportional to 138,124.71, 207,257.84 and 81,281.24 is: 121,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,124.71 : 207,257.84 = 81,281.24 : x
  2. Step 2: Convert to fraction form
    138,124.71/207,257.84 = 81,281.24/x
  3. Step 3: Cross multiply
    138,124.71x = 207,257.84 × 81,281.24
  4. Step 4: Simplify right side
    138,124.71x = 16,846,173,874.25
  5. Step 5: Solve for x
    x = 16,846,173,874.25/138,124.71
  6. Step 6: Final answer
    x = 121,963.51

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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.