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Finding the Fourth Proportional to 204,508.76, 306,610.06 and 137,761.56

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Solution

The fourth proportional to 204,508.76, 306,610.06 and 137,761.56 is: 206,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,508.76 : 306,610.06 = 137,761.56 : x
  2. Step 2: Convert to fraction form
    204,508.76/306,610.06 = 137,761.56/x
  3. Step 3: Cross multiply
    204,508.76x = 306,610.06 × 137,761.56
  4. Step 4: Simplify right side
    204,508.76x = 42,239,080,177.29
  5. Step 5: Solve for x
    x = 42,239,080,177.29/204,508.76
  6. Step 6: Final answer
    x = 206,539.22

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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.