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Finding the Fourth Proportional to 120,454.29, 166,224.72 and 66,739.11

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Solution

The fourth proportional to 120,454.29, 166,224.72 and 66,739.11 is: 92,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,454.29 : 166,224.72 = 66,739.11 : x
  2. Step 2: Convert to fraction form
    120,454.29/166,224.72 = 66,739.11/x
  3. Step 3: Cross multiply
    120,454.29x = 166,224.72 × 66,739.11
  4. Step 4: Simplify right side
    120,454.29x = 11,093,689,872.80
  5. Step 5: Solve for x
    x = 11,093,689,872.80/120,454.29
  6. Step 6: Final answer
    x = 92,098.75

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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.