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Finding the Fourth Proportional to 171,694.20, 257,468.40 and 82,974.90

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Solution

The fourth proportional to 171,694.20, 257,468.40 and 82,974.90 is: 124,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,694.20 : 257,468.40 = 82,974.90 : x
  2. Step 2: Convert to fraction form
    171,694.20/257,468.40 = 82,974.90/x
  3. Step 3: Cross multiply
    171,694.20x = 257,468.40 × 82,974.90
  4. Step 4: Simplify right side
    171,694.20x = 21,363,414,743.16
  5. Step 5: Solve for x
    x = 21,363,414,743.16/171,694.20
  6. Step 6: Final answer
    x = 124,427.12

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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.