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Finding the Fourth Proportional to 206,634.45, 309,951.68 and 81,975.45

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Solution

The fourth proportional to 206,634.45, 309,951.68 and 81,975.45 is: 122,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,634.45 : 309,951.68 = 81,975.45 : x
  2. Step 2: Convert to fraction form
    206,634.45/309,951.68 = 81,975.45/x
  3. Step 3: Cross multiply
    206,634.45x = 309,951.68 × 81,975.45
  4. Step 4: Simplify right side
    206,634.45x = 25,408,428,446.26
  5. Step 5: Solve for x
    x = 25,408,428,446.26/206,634.45
  6. Step 6: Final answer
    x = 122,963.18

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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.