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Finding the Fourth Proportional to 120,408.10, 166,167.80 and 66,691.97

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Solution

The fourth proportional to 120,408.10, 166,167.80 and 66,691.97 is: 92,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408.10 : 166,167.80 = 66,691.97 : x
  2. Step 2: Convert to fraction form
    120,408.10/166,167.80 = 66,691.97/x
  3. Step 3: Cross multiply
    120,408.10x = 166,167.80 × 66,691.97
  4. Step 4: Simplify right side
    120,408.10x = 11,082,057,932.57
  5. Step 5: Solve for x
    x = 11,082,057,932.57/120,408.10
  6. Step 6: Final answer
    x = 92,037.48

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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.