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Finding the Fourth Proportional to 171,046.20, 256,569.30 and 82,472.70

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Solution

The fourth proportional to 171,046.20, 256,569.30 and 82,472.70 is: 123,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,046.20 : 256,569.30 = 82,472.70 : x
  2. Step 2: Convert to fraction form
    171,046.20/256,569.30 = 82,472.70/x
  3. Step 3: Cross multiply
    171,046.20x = 256,569.30 × 82,472.70
  4. Step 4: Simplify right side
    171,046.20x = 21,159,962,908.11
  5. Step 5: Solve for x
    x = 21,159,962,908.11/171,046.20
  6. Step 6: Final answer
    x = 123,709.05

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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.