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Finding the Fourth Proportional to 171,285.66, 256,853.97 and 81,354.42

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Solution

The fourth proportional to 171,285.66, 256,853.97 and 81,354.42 is: 121,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,285.66 : 256,853.97 = 81,354.42 : x
  2. Step 2: Convert to fraction form
    171,285.66/256,853.97 = 81,354.42/x
  3. Step 3: Cross multiply
    171,285.66x = 256,853.97 × 81,354.42
  4. Step 4: Simplify right side
    171,285.66x = 20,896,205,754.05
  5. Step 5: Solve for x
    x = 20,896,205,754.05/171,285.66
  6. Step 6: Final answer
    x = 121,996.24

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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.