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Finding the Fourth Proportional to 120,197.12, 165,868.92 and 66,480.80

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Solution

The fourth proportional to 120,197.12, 165,868.92 and 66,480.80 is: 91,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,197.12 : 165,868.92 = 66,480.80 : x
  2. Step 2: Convert to fraction form
    120,197.12/165,868.92 = 66,480.80/x
  3. Step 3: Cross multiply
    120,197.12x = 165,868.92 × 66,480.80
  4. Step 4: Simplify right side
    120,197.12x = 11,027,098,496.74
  5. Step 5: Solve for x
    x = 11,027,098,496.74/120,197.12
  6. Step 6: Final answer
    x = 91,741.79

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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.