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Finding the Fourth Proportional to 138,051.72, 207,156.24 and 53,800.92

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Solution

The fourth proportional to 138,051.72, 207,156.24 and 53,800.92 is: 80,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,051.72 : 207,156.24 = 53,800.92 : x
  2. Step 2: Convert to fraction form
    138,051.72/207,156.24 = 53,800.92/x
  3. Step 3: Cross multiply
    138,051.72x = 207,156.24 × 53,800.92
  4. Step 4: Simplify right side
    138,051.72x = 11,145,196,295.74
  5. Step 5: Solve for x
    x = 11,145,196,295.74/138,051.72
  6. Step 6: Final answer
    x = 80,732.04

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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.