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Finding the Fourth Proportional to 206,162.89, 308,719.28 and 135,828.97

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Solution

The fourth proportional to 206,162.89, 308,719.28 and 135,828.97 is: 203,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,162.89 : 308,719.28 = 135,828.97 : x
  2. Step 2: Convert to fraction form
    206,162.89/308,719.28 = 135,828.97/x
  3. Step 3: Cross multiply
    206,162.89x = 308,719.28 × 135,828.97
  4. Step 4: Simplify right side
    206,162.89x = 41,933,021,142.40
  5. Step 5: Solve for x
    x = 41,933,021,142.40/206,162.89
  6. Step 6: Final answer
    x = 203,397.52

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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.