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Finding the Fourth Proportional to 120,996.50, 166,965.62 and 67,278.20

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Solution

The fourth proportional to 120,996.50, 166,965.62 and 67,278.20 is: 92,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,996.50 : 166,965.62 = 67,278.20 : x
  2. Step 2: Convert to fraction form
    120,996.50/166,965.62 = 67,278.20/x
  3. Step 3: Cross multiply
    120,996.50x = 166,965.62 × 67,278.20
  4. Step 4: Simplify right side
    120,996.50x = 11,233,146,375.48
  5. Step 5: Solve for x
    x = 11,233,146,375.48/120,996.50
  6. Step 6: Final answer
    x = 92,838.61

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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.