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Finding the Fourth Proportional to 204,778.43, 307,305.90 and 71,659.82

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Solution

The fourth proportional to 204,778.43, 307,305.90 and 71,659.82 is: 107,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,778.43 : 307,305.90 = 71,659.82 : x
  2. Step 2: Convert to fraction form
    204,778.43/307,305.90 = 71,659.82/x
  3. Step 3: Cross multiply
    204,778.43x = 307,305.90 × 71,659.82
  4. Step 4: Simplify right side
    204,778.43x = 22,021,486,247.20
  5. Step 5: Solve for x
    x = 22,021,486,247.20/204,778.43
  6. Step 6: Final answer
    x = 107,538.12

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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.