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Finding the Fourth Proportional to 171,041.20, 256,561.80 and 82,467.70

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Solution

The fourth proportional to 171,041.20, 256,561.80 and 82,467.70 is: 123,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,041.20 : 256,561.80 = 82,467.70 : x
  2. Step 2: Convert to fraction form
    171,041.20/256,561.80 = 82,467.70/x
  3. Step 3: Cross multiply
    171,041.20x = 256,561.80 × 82,467.70
  4. Step 4: Simplify right side
    171,041.20x = 21,158,061,553.86
  5. Step 5: Solve for x
    x = 21,158,061,553.86/171,041.20
  6. Step 6: Final answer
    x = 123,701.55

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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.