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Finding the Fourth Proportional to 138,082.60, 207,123.90 and 82,095.40

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Solution

The fourth proportional to 138,082.60, 207,123.90 and 82,095.40 is: 123,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082.60 : 207,123.90 = 82,095.40 : x
  2. Step 2: Convert to fraction form
    138,082.60/207,123.90 = 82,095.40/x
  3. Step 3: Cross multiply
    138,082.60x = 207,123.90 × 82,095.40
  4. Step 4: Simplify right side
    138,082.60x = 17,003,919,420.06
  5. Step 5: Solve for x
    x = 17,003,919,420.06/138,082.60
  6. Step 6: Final answer
    x = 123,143.10

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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.