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Finding the Fourth Proportional to 120,996.90, 166,970.88 and 67,278.02

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Solution

The fourth proportional to 120,996.90, 166,970.88 and 67,278.02 is: 92,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,996.90 : 166,970.88 = 67,278.02 : x
  2. Step 2: Convert to fraction form
    120,996.90/166,970.88 = 67,278.02/x
  3. Step 3: Cross multiply
    120,996.90x = 166,970.88 × 67,278.02
  4. Step 4: Simplify right side
    120,996.90x = 11,233,469,369.20
  5. Step 5: Solve for x
    x = 11,233,469,369.20/120,996.90
  6. Step 6: Final answer
    x = 92,840.97

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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.