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Finding the Fourth Proportional to 204,507.76, 306,608.56 and 137,760.56

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Solution

The fourth proportional to 204,507.76, 306,608.56 and 137,760.56 is: 206,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,507.76 : 306,608.56 = 137,760.56 : x
  2. Step 2: Convert to fraction form
    204,507.76/306,608.56 = 137,760.56/x
  3. Step 3: Cross multiply
    204,507.76x = 306,608.56 × 137,760.56
  4. Step 4: Simplify right side
    204,507.76x = 42,238,566,926.39
  5. Step 5: Solve for x
    x = 42,238,566,926.39/204,507.76
  6. Step 6: Final answer
    x = 206,537.72

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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.