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Finding the Fourth Proportional to 100,408.24, 138,505.80 and 62,616.88

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Solution

The fourth proportional to 100,408.24, 138,505.80 and 62,616.88 is: 86,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.24 : 138,505.80 = 62,616.88 : x
  2. Step 2: Convert to fraction form
    100,408.24/138,505.80 = 62,616.88/x
  3. Step 3: Cross multiply
    100,408.24x = 138,505.80 × 62,616.88
  4. Step 4: Simplify right side
    100,408.24x = 8,672,801,057.90
  5. Step 5: Solve for x
    x = 8,672,801,057.90/100,408.24
  6. Step 6: Final answer
    x = 86,375.39

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1.5x scale

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.