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Finding the Fourth Proportional to 120,063.57, 165,691.05 and 66,351.96

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Solution

The fourth proportional to 120,063.57, 165,691.05 and 66,351.96 is: 91,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,063.57 : 165,691.05 = 66,351.96 : x
  2. Step 2: Convert to fraction form
    120,063.57/165,691.05 = 66,351.96/x
  3. Step 3: Cross multiply
    120,063.57x = 165,691.05 × 66,351.96
  4. Step 4: Simplify right side
    120,063.57x = 10,993,925,921.96
  5. Step 5: Solve for x
    x = 10,993,925,921.96/120,063.57
  6. Step 6: Final answer
    x = 91,567.54

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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.