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Finding the Fourth Proportional to 138,098.53, 207,174.53 and 53,855.29

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Solution

The fourth proportional to 138,098.53, 207,174.53 and 53,855.29 is: 80,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,098.53 : 207,174.53 = 53,855.29 : x
  2. Step 2: Convert to fraction form
    138,098.53/207,174.53 = 53,855.29/x
  3. Step 3: Cross multiply
    138,098.53x = 207,174.53 × 53,855.29
  4. Step 4: Simplify right side
    138,098.53x = 11,157,444,393.76
  5. Step 5: Solve for x
    x = 11,157,444,393.76/138,098.53
  6. Step 6: Final answer
    x = 80,793.36

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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.