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Finding the Fourth Proportional to 206,081.12, 309,231.12 and 81,423.20

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Solution

The fourth proportional to 206,081.12, 309,231.12 and 81,423.20 is: 122,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,081.12 : 309,231.12 = 81,423.20 : x
  2. Step 2: Convert to fraction form
    206,081.12/309,231.12 = 81,423.20/x
  3. Step 3: Cross multiply
    206,081.12x = 309,231.12 × 81,423.20
  4. Step 4: Simplify right side
    206,081.12x = 25,178,587,329.98
  5. Step 5: Solve for x
    x = 25,178,587,329.98/206,081.12
  6. Step 6: Final answer
    x = 122,178.04

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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.