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Finding the Fourth Proportional to 206,470.88, 309,497.16 and 139,917.74

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Solution

The fourth proportional to 206,470.88, 309,497.16 and 139,917.74 is: 209,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,470.88 : 309,497.16 = 139,917.74 : x
  2. Step 2: Convert to fraction form
    206,470.88/309,497.16 = 139,917.74/x
  3. Step 3: Cross multiply
    206,470.88x = 309,497.16 × 139,917.74
  4. Step 4: Simplify right side
    206,470.88x = 43,304,143,163.62
  5. Step 5: Solve for x
    x = 43,304,143,163.62/206,470.88
  6. Step 6: Final answer
    x = 209,734.87

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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.