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Finding the Fourth Proportional to 206,107.64, 309,103.14 and 93,725

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Solution

The fourth proportional to 206,107.64, 309,103.14 and 93,725 is: 140,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,107.64 : 309,103.14 = 93,725 : x
  2. Step 2: Convert to fraction form
    206,107.64/309,103.14 = 93,725/x
  3. Step 3: Cross multiply
    206,107.64x = 309,103.14 × 93,725
  4. Step 4: Simplify right side
    206,107.64x = 28,970,691,796.50
  5. Step 5: Solve for x
    x = 28,970,691,796.50/206,107.64
  6. Step 6: Final answer
    x = 140,560.98

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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.