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Finding the Fourth Proportional to 120,781.80, 166,661.55 and 67,067.46

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Solution

The fourth proportional to 120,781.80, 166,661.55 and 67,067.46 is: 92,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,781.80 : 166,661.55 = 67,067.46 : x
  2. Step 2: Convert to fraction form
    120,781.80/166,661.55 = 67,067.46/x
  3. Step 3: Cross multiply
    120,781.80x = 166,661.55 × 67,067.46
  4. Step 4: Simplify right side
    120,781.80x = 11,177,566,838.16
  5. Step 5: Solve for x
    x = 11,177,566,838.16/120,781.80
  6. Step 6: Final answer
    x = 92,543.47

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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.