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Finding the Fourth Proportional to 206,481.14, 309,692.52 and 66,221.54

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Solution

The fourth proportional to 206,481.14, 309,692.52 and 66,221.54 is: 99,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,481.14 : 309,692.52 = 66,221.54 : x
  2. Step 2: Convert to fraction form
    206,481.14/309,692.52 = 66,221.54/x
  3. Step 3: Cross multiply
    206,481.14x = 309,692.52 × 66,221.54
  4. Step 4: Simplify right side
    206,481.14x = 20,508,315,600.88
  5. Step 5: Solve for x
    x = 20,508,315,600.88/206,481.14
  6. Step 6: Final answer
    x = 99,322.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.