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Finding the Fourth Proportional to 138,097.53, 207,173.03 and 53,854.29

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Solution

The fourth proportional to 138,097.53, 207,173.03 and 53,854.29 is: 80,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,097.53 : 207,173.03 = 53,854.29 : x
  2. Step 2: Convert to fraction form
    138,097.53/207,173.03 = 53,854.29/x
  3. Step 3: Cross multiply
    138,097.53x = 207,173.03 × 53,854.29
  4. Step 4: Simplify right side
    138,097.53x = 11,157,156,168.53
  5. Step 5: Solve for x
    x = 11,157,156,168.53/138,097.53
  6. Step 6: Final answer
    x = 80,791.86

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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.