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Finding the Fourth Proportional to 120,454.20, 166,228.20 and 66,739.86

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Solution

The fourth proportional to 120,454.20, 166,228.20 and 66,739.86 is: 92,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,454.20 : 166,228.20 = 66,739.86 : x
  2. Step 2: Convert to fraction form
    120,454.20/166,228.20 = 66,739.86/x
  3. Step 3: Cross multiply
    120,454.20x = 166,228.20 × 66,739.86
  4. Step 4: Simplify right side
    120,454.20x = 11,094,046,796.05
  5. Step 5: Solve for x
    x = 11,094,046,796.05/120,454.20
  6. Step 6: Final answer
    x = 92,101.78

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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.