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Finding the Fourth Proportional to 120,854.30, 166,805.61 and 67,157.78

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Solution

The fourth proportional to 120,854.30, 166,805.61 and 67,157.78 is: 92,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,854.30 : 166,805.61 = 67,157.78 : x
  2. Step 2: Convert to fraction form
    120,854.30/166,805.61 = 67,157.78/x
  3. Step 3: Cross multiply
    120,854.30x = 166,805.61 × 67,157.78
  4. Step 4: Simplify right side
    120,854.30x = 11,202,294,459.15
  5. Step 5: Solve for x
    x = 11,202,294,459.15/120,854.30
  6. Step 6: Final answer
    x = 92,692.56

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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.