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Finding the Fourth Proportional to 120,402.92, 166,157.80 and 69,414.78

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Solution

The fourth proportional to 120,402.92, 166,157.80 and 69,414.78 is: 95,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,402.92 : 166,157.80 = 69,414.78 : x
  2. Step 2: Convert to fraction form
    120,402.92/166,157.80 = 69,414.78/x
  3. Step 3: Cross multiply
    120,402.92x = 166,157.80 × 69,414.78
  4. Step 4: Simplify right side
    120,402.92x = 11,533,807,132.28
  5. Step 5: Solve for x
    x = 11,533,807,132.28/120,402.92
  6. Step 6: Final answer
    x = 95,793.42

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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.