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Finding the Fourth Proportional to 100,086, 138,123 and 55,374

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Solution

The fourth proportional to 100,086, 138,123 and 55,374 is: 76,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,086 : 138,123 = 55,374 : x
  2. Step 2: Convert to fraction form
    100,086/138,123 = 55,374/x
  3. Step 3: Cross multiply
    100,086x = 138,123 × 55,374
  4. Step 4: Simplify right side
    100,086x = 7,648,423,002
  5. Step 5: Solve for x
    x = 7,648,423,002/100,086
  6. Step 6: Final answer
    x = 76,418.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.