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Finding the Fourth Proportional to 138,082.57, 206,873.56 and 63,265.30

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Solution

The fourth proportional to 138,082.57, 206,873.56 and 63,265.30 is: 94,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082.57 : 206,873.56 = 63,265.30 : x
  2. Step 2: Convert to fraction form
    138,082.57/206,873.56 = 63,265.30/x
  3. Step 3: Cross multiply
    138,082.57x = 206,873.56 × 63,265.30
  4. Step 4: Simplify right side
    138,082.57x = 13,087,917,397.37
  5. Step 5: Solve for x
    x = 13,087,917,397.37/138,082.57
  6. Step 6: Final answer
    x = 94,783.27

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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.