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Finding the Fourth Proportional to 138,520.28, 207,706.57 and 71,893.33

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Solution

The fourth proportional to 138,520.28, 207,706.57 and 71,893.33 is: 107,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,520.28 : 207,706.57 = 71,893.33 : x
  2. Step 2: Convert to fraction form
    138,520.28/207,706.57 = 71,893.33/x
  3. Step 3: Cross multiply
    138,520.28x = 207,706.57 × 71,893.33
  4. Step 4: Simplify right side
    138,520.28x = 14,932,716,281.18
  5. Step 5: Solve for x
    x = 14,932,716,281.18/138,520.28
  6. Step 6: Final answer
    x = 107,801.66

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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.