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Finding the Fourth Proportional to 206,617.80, 309,408.30 and 136,115.40

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Solution

The fourth proportional to 206,617.80, 309,408.30 and 136,115.40 is: 203,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,617.80 : 309,408.30 = 136,115.40 : x
  2. Step 2: Convert to fraction form
    206,617.80/309,408.30 = 136,115.40/x
  3. Step 3: Cross multiply
    206,617.80x = 309,408.30 × 136,115.40
  4. Step 4: Simplify right side
    206,617.80x = 42,115,234,517.82
  5. Step 5: Solve for x
    x = 42,115,234,517.82/206,617.80
  6. Step 6: Final answer
    x = 203,831.59

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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.