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Finding the Fourth Proportional to 138,654.75, 207,982.13 and 45,160.50

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Solution

The fourth proportional to 138,654.75, 207,982.13 and 45,160.50 is: 67,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,654.75 : 207,982.13 = 45,160.50 : x
  2. Step 2: Convert to fraction form
    138,654.75/207,982.13 = 45,160.50/x
  3. Step 3: Cross multiply
    138,654.75x = 207,982.13 × 45,160.50
  4. Step 4: Simplify right side
    138,654.75x = 9,392,576,981.87
  5. Step 5: Solve for x
    x = 9,392,576,981.87/138,654.75
  6. Step 6: Final answer
    x = 67,740.75

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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.