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Finding the Fourth Proportional to 171,753.70, 237,020.31 and 100,147.56

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Solution

The fourth proportional to 171,753.70, 237,020.31 and 100,147.56 is: 138,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,753.70 : 237,020.31 = 100,147.56 : x
  2. Step 2: Convert to fraction form
    171,753.70/237,020.31 = 100,147.56/x
  3. Step 3: Cross multiply
    171,753.70x = 237,020.31 × 100,147.56
  4. Step 4: Simplify right side
    171,753.70x = 23,737,005,716.94
  5. Step 5: Solve for x
    x = 23,737,005,716.94/171,753.70
  6. Step 6: Final answer
    x = 138,203.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.