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Finding the Fourth Proportional to 206,578.38, 309,765.24 and 73,438.68

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Solution

The fourth proportional to 206,578.38, 309,765.24 and 73,438.68 is: 110,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578.38 : 309,765.24 = 73,438.68 : x
  2. Step 2: Convert to fraction form
    206,578.38/309,765.24 = 73,438.68/x
  3. Step 3: Cross multiply
    206,578.38x = 309,765.24 × 73,438.68
  4. Step 4: Simplify right side
    206,578.38x = 22,748,750,335.48
  5. Step 5: Solve for x
    x = 22,748,750,335.48/206,578.38
  6. Step 6: Final answer
    x = 110,121.64

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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.