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Finding the Fourth Proportional to 138,753.90, 208,240.32 and 71,283.24

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Solution

The fourth proportional to 138,753.90, 208,240.32 and 71,283.24 is: 106,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,753.90 : 208,240.32 = 71,283.24 : x
  2. Step 2: Convert to fraction form
    138,753.90/208,240.32 = 71,283.24/x
  3. Step 3: Cross multiply
    138,753.90x = 208,240.32 × 71,283.24
  4. Step 4: Simplify right side
    138,753.90x = 14,844,044,708.24
  5. Step 5: Solve for x
    x = 14,844,044,708.24/138,753.90
  6. Step 6: Final answer
    x = 106,981.10

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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.