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Finding the Fourth Proportional to 138,096.78, 207,171.90 and 53,853.54

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Solution

The fourth proportional to 138,096.78, 207,171.90 and 53,853.54 is: 80,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,096.78 : 207,171.90 = 53,853.54 : x
  2. Step 2: Convert to fraction form
    138,096.78/207,171.90 = 53,853.54/x
  3. Step 3: Cross multiply
    138,096.78x = 207,171.90 × 53,853.54
  4. Step 4: Simplify right side
    138,096.78x = 11,156,940,203.53
  5. Step 5: Solve for x
    x = 11,156,940,203.53/138,096.78
  6. Step 6: Final answer
    x = 80,790.73

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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.