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Finding the Fourth Proportional to 138,057.52, 207,046.24 and 53,798.88

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Solution

The fourth proportional to 138,057.52, 207,046.24 and 53,798.88 is: 80,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,057.52 : 207,046.24 = 53,798.88 : x
  2. Step 2: Convert to fraction form
    138,057.52/207,046.24 = 53,798.88/x
  3. Step 3: Cross multiply
    138,057.52x = 207,046.24 × 53,798.88
  4. Step 4: Simplify right side
    138,057.52x = 11,138,855,820.21
  5. Step 5: Solve for x
    x = 11,138,855,820.21/138,057.52
  6. Step 6: Final answer
    x = 80,682.72

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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.