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Finding the Fourth Proportional to 206,080.20, 308,828.70 and 181,002.60

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Solution

The fourth proportional to 206,080.20, 308,828.70 and 181,002.60 is: 271,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,080.20 : 308,828.70 = 181,002.60 : x
  2. Step 2: Convert to fraction form
    206,080.20/308,828.70 = 181,002.60/x
  3. Step 3: Cross multiply
    206,080.20x = 308,828.70 × 181,002.60
  4. Step 4: Simplify right side
    206,080.20x = 55,898,797,654.62
  5. Step 5: Solve for x
    x = 55,898,797,654.62/206,080.20
  6. Step 6: Final answer
    x = 271,247.78

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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.