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Finding the Fourth Proportional to 171,142.72, 256,500 and 82,372.48

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Solution

The fourth proportional to 171,142.72, 256,500 and 82,372.48 is: 123,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,142.72 : 256,500 = 82,372.48 : x
  2. Step 2: Convert to fraction form
    171,142.72/256,500 = 82,372.48/x
  3. Step 3: Cross multiply
    171,142.72x = 256,500 × 82,372.48
  4. Step 4: Simplify right side
    171,142.72x = 21,128,541,120
  5. Step 5: Solve for x
    x = 21,128,541,120/171,142.72
  6. Step 6: Final answer
    x = 123,455.68

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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.