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Finding the Fourth Proportional to 206,123.48, 308,660.31 and 135,789.56

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Solution

The fourth proportional to 206,123.48, 308,660.31 and 135,789.56 is: 203,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,123.48 : 308,660.31 = 135,789.56 : x
  2. Step 2: Convert to fraction form
    206,123.48/308,660.31 = 135,789.56/x
  3. Step 3: Cross multiply
    206,123.48x = 308,660.31 × 135,789.56
  4. Step 4: Simplify right side
    206,123.48x = 41,912,846,141.06
  5. Step 5: Solve for x
    x = 41,912,846,141.06/206,123.48
  6. Step 6: Final answer
    x = 203,338.54

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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.