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Finding the Fourth Proportional to 138,367.96, 207,635.94 and 55,255

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Solution

The fourth proportional to 138,367.96, 207,635.94 and 55,255 is: 82,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,367.96 : 207,635.94 = 55,255 : x
  2. Step 2: Convert to fraction form
    138,367.96/207,635.94 = 55,255/x
  3. Step 3: Cross multiply
    138,367.96x = 207,635.94 × 55,255
  4. Step 4: Simplify right side
    138,367.96x = 11,472,923,864.70
  5. Step 5: Solve for x
    x = 11,472,923,864.70/138,367.96
  6. Step 6: Final answer
    x = 82,916.04

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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.