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Finding the Fourth Proportional to 138,822.60, 208,233.90 and 59,881.80

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Solution

The fourth proportional to 138,822.60, 208,233.90 and 59,881.80 is: 89,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,822.60 : 208,233.90 = 59,881.80 : x
  2. Step 2: Convert to fraction form
    138,822.60/208,233.90 = 59,881.80/x
  3. Step 3: Cross multiply
    138,822.60x = 208,233.90 × 59,881.80
  4. Step 4: Simplify right side
    138,822.60x = 12,469,420,753.02
  5. Step 5: Solve for x
    x = 12,469,420,753.02/138,822.60
  6. Step 6: Final answer
    x = 89,822.70

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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.