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Finding the Fourth Proportional to 171,245.16, 256,758.39 and 82,321.74

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Solution

The fourth proportional to 171,245.16, 256,758.39 and 82,321.74 is: 123,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,245.16 : 256,758.39 = 82,321.74 : x
  2. Step 2: Convert to fraction form
    171,245.16/256,758.39 = 82,321.74/x
  3. Step 3: Cross multiply
    171,245.16x = 256,758.39 × 82,321.74
  4. Step 4: Simplify right side
    171,245.16x = 21,136,797,424.40
  5. Step 5: Solve for x
    x = 21,136,797,424.40/171,245.16
  6. Step 6: Final answer
    x = 123,430.04

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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.