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Finding the Fourth Proportional to 138,682.88, 207,998.28 and 54,439.76

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Solution

The fourth proportional to 138,682.88, 207,998.28 and 54,439.76 is: 81,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,682.88 : 207,998.28 = 54,439.76 : x
  2. Step 2: Convert to fraction form
    138,682.88/207,998.28 = 54,439.76/x
  3. Step 3: Cross multiply
    138,682.88x = 207,998.28 × 54,439.76
  4. Step 4: Simplify right side
    138,682.88x = 11,323,376,443.61
  5. Step 5: Solve for x
    x = 11,323,376,443.61/138,682.88
  6. Step 6: Final answer
    x = 81,649.42

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1.5x scale

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.