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Finding the Fourth Proportional to 120,885.63, 166,822.31 and 67,169.40

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Solution

The fourth proportional to 120,885.63, 166,822.31 and 67,169.40 is: 92,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,885.63 : 166,822.31 = 67,169.40 : x
  2. Step 2: Convert to fraction form
    120,885.63/166,822.31 = 67,169.40/x
  3. Step 3: Cross multiply
    120,885.63x = 166,822.31 × 67,169.40
  4. Step 4: Simplify right side
    120,885.63x = 11,205,354,469.31
  5. Step 5: Solve for x
    x = 11,205,354,469.31/120,885.63
  6. Step 6: Final answer
    x = 92,693.85

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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.