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Finding the Fourth Proportional to 120,197.87, 165,861.92 and 66,481.74

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Solution

The fourth proportional to 120,197.87, 165,861.92 and 66,481.74 is: 91,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,197.87 : 165,861.92 = 66,481.74 : x
  2. Step 2: Convert to fraction form
    120,197.87/165,861.92 = 66,481.74/x
  3. Step 3: Cross multiply
    120,197.87x = 165,861.92 × 66,481.74
  4. Step 4: Simplify right side
    120,197.87x = 11,026,789,041.34
  5. Step 5: Solve for x
    x = 11,026,789,041.34/120,197.87
  6. Step 6: Final answer
    x = 91,738.64

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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.