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Finding the Fourth Proportional to 171,143.40, 256,496.40 and 82,205.40

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Solution

The fourth proportional to 171,143.40, 256,496.40 and 82,205.40 is: 123,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,143.40 : 256,496.40 = 82,205.40 : x
  2. Step 2: Convert to fraction form
    171,143.40/256,496.40 = 82,205.40/x
  3. Step 3: Cross multiply
    171,143.40x = 256,496.40 × 82,205.40
  4. Step 4: Simplify right side
    171,143.40x = 21,085,389,160.56
  5. Step 5: Solve for x
    x = 21,085,389,160.56/171,143.40
  6. Step 6: Final answer
    x = 123,203.05

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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.