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Finding the Fourth Proportional to 206,514.76, 309,885.04 and 80,160.02

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Solution

The fourth proportional to 206,514.76, 309,885.04 and 80,160.02 is: 120,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,514.76 : 309,885.04 = 80,160.02 : x
  2. Step 2: Convert to fraction form
    206,514.76/309,885.04 = 80,160.02/x
  3. Step 3: Cross multiply
    206,514.76x = 309,885.04 × 80,160.02
  4. Step 4: Simplify right side
    206,514.76x = 24,840,391,004.10
  5. Step 5: Solve for x
    x = 24,840,391,004.10/206,514.76
  6. Step 6: Final answer
    x = 120,283.85

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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.