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Finding the Fourth Proportional to 138,583.80, 207,997.20 and 82,353.60

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Solution

The fourth proportional to 138,583.80, 207,997.20 and 82,353.60 is: 123,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,583.80 : 207,997.20 = 82,353.60 : x
  2. Step 2: Convert to fraction form
    138,583.80/207,997.20 = 82,353.60/x
  3. Step 3: Cross multiply
    138,583.80x = 207,997.20 × 82,353.60
  4. Step 4: Simplify right side
    138,583.80x = 17,129,318,209.92
  5. Step 5: Solve for x
    x = 17,129,318,209.92/138,583.80
  6. Step 6: Final answer
    x = 123,602.60

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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.