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Finding the Fourth Proportional to 215,212.80, 322,819.20 and 65,451.90

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Solution

The fourth proportional to 215,212.80, 322,819.20 and 65,451.90 is: 98,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,212.80 : 322,819.20 = 65,451.90 : x
  2. Step 2: Convert to fraction form
    215,212.80/322,819.20 = 65,451.90/x
  3. Step 3: Cross multiply
    215,212.80x = 322,819.20 × 65,451.90
  4. Step 4: Simplify right side
    215,212.80x = 21,129,129,996.48
  5. Step 5: Solve for x
    x = 21,129,129,996.48/215,212.80
  6. Step 6: Final answer
    x = 98,177.85

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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.