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Finding the Fourth Proportional to 206,634.20, 309,951.30 and 81,975.20

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Solution

The fourth proportional to 206,634.20, 309,951.30 and 81,975.20 is: 122,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,634.20 : 309,951.30 = 81,975.20 : x
  2. Step 2: Convert to fraction form
    206,634.20/309,951.30 = 81,975.20/x
  3. Step 3: Cross multiply
    206,634.20x = 309,951.30 × 81,975.20
  4. Step 4: Simplify right side
    206,634.20x = 25,408,318,258.00
  5. Step 5: Solve for x
    x = 25,408,318,258.00/206,634.20
  6. Step 6: Final answer
    x = 122,962.80

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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.