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Finding the Fourth Proportional to 138,082, 207,125.52 and 43,310.06

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Solution

The fourth proportional to 138,082, 207,125.52 and 43,310.06 is: 64,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082 : 207,125.52 = 43,310.06 : x
  2. Step 2: Convert to fraction form
    138,082/207,125.52 = 43,310.06/x
  3. Step 3: Cross multiply
    138,082x = 207,125.52 × 43,310.06
  4. Step 4: Simplify right side
    138,082x = 8,970,618,698.73
  5. Step 5: Solve for x
    x = 8,970,618,698.73/138,082
  6. Step 6: Final answer
    x = 64,965.88

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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.