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Finding the Fourth Proportional to 138,523.52, 207,785.34 and 33,342.50

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Solution

The fourth proportional to 138,523.52, 207,785.34 and 33,342.50 is: 50,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,523.52 : 207,785.34 = 33,342.50 : x
  2. Step 2: Convert to fraction form
    138,523.52/207,785.34 = 33,342.50/x
  3. Step 3: Cross multiply
    138,523.52x = 207,785.34 × 33,342.50
  4. Step 4: Simplify right side
    138,523.52x = 6,928,083,218.41
  5. Step 5: Solve for x
    x = 6,928,083,218.41/138,523.52
  6. Step 6: Final answer
    x = 50,013.77

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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.