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Finding the Fourth Proportional to 138,644.52, 207,981.36 and 45,157.56

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Solution

The fourth proportional to 138,644.52, 207,981.36 and 45,157.56 is: 67,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,644.52 : 207,981.36 = 45,157.56 : x
  2. Step 2: Convert to fraction form
    138,644.52/207,981.36 = 45,157.56/x
  3. Step 3: Cross multiply
    138,644.52x = 207,981.36 × 45,157.56
  4. Step 4: Simplify right side
    138,644.52x = 9,391,930,743.08
  5. Step 5: Solve for x
    x = 9,391,930,743.08/138,644.52
  6. Step 6: Final answer
    x = 67,741.09

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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.