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Finding the Fourth Proportional to 120,844.86, 166,765.82 and 67,134.90

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Solution

The fourth proportional to 120,844.86, 166,765.82 and 67,134.90 is: 92,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,844.86 : 166,765.82 = 67,134.90 : x
  2. Step 2: Convert to fraction form
    120,844.86/166,765.82 = 67,134.90/x
  3. Step 3: Cross multiply
    120,844.86x = 166,765.82 × 67,134.90
  4. Step 4: Simplify right side
    120,844.86x = 11,195,806,649.12
  5. Step 5: Solve for x
    x = 11,195,806,649.12/120,844.86
  6. Step 6: Final answer
    x = 92,646.11

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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.