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Finding the Fourth Proportional to 206,029.10, 308,966.85 and 81,344.30

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Solution

The fourth proportional to 206,029.10, 308,966.85 and 81,344.30 is: 121,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,029.10 : 308,966.85 = 81,344.30 : x
  2. Step 2: Convert to fraction form
    206,029.10/308,966.85 = 81,344.30/x
  3. Step 3: Cross multiply
    206,029.10x = 308,966.85 × 81,344.30
  4. Step 4: Simplify right side
    206,029.10x = 25,132,692,136.46
  5. Step 5: Solve for x
    x = 25,132,692,136.46/206,029.10
  6. Step 6: Final answer
    x = 121,986.13

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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.