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Finding the Fourth Proportional to 171,371.64, 256,610.34 and 137,908.92

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Solution

The fourth proportional to 171,371.64, 256,610.34 and 137,908.92 is: 206,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,371.64 : 256,610.34 = 137,908.92 : x
  2. Step 2: Convert to fraction form
    171,371.64/256,610.34 = 137,908.92/x
  3. Step 3: Cross multiply
    171,371.64x = 256,610.34 × 137,908.92
  4. Step 4: Simplify right side
    171,371.64x = 35,388,854,850.23
  5. Step 5: Solve for x
    x = 35,388,854,850.23/171,371.64
  6. Step 6: Final answer
    x = 206,503.57

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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.