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Finding the Fourth Proportional to 203,819.92, 305,396.96 and 123,882.34

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Solution

The fourth proportional to 203,819.92, 305,396.96 and 123,882.34 is: 185,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,819.92 : 305,396.96 = 123,882.34 : x
  2. Step 2: Convert to fraction form
    203,819.92/305,396.96 = 123,882.34/x
  3. Step 3: Cross multiply
    203,819.92x = 305,396.96 × 123,882.34
  4. Step 4: Simplify right side
    203,819.92x = 37,833,290,033.69
  5. Step 5: Solve for x
    x = 37,833,290,033.69/203,819.92
  6. Step 6: Final answer
    x = 185,621.16

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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.