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Finding the Fourth Proportional to 171,146.40, 256,500.90 and 82,208.40

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Solution

The fourth proportional to 171,146.40, 256,500.90 and 82,208.40 is: 123,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,146.40 : 256,500.90 = 82,208.40 : x
  2. Step 2: Convert to fraction form
    171,146.40/256,500.90 = 82,208.40/x
  3. Step 3: Cross multiply
    171,146.40x = 256,500.90 × 82,208.40
  4. Step 4: Simplify right side
    171,146.40x = 21,086,528,587.56
  5. Step 5: Solve for x
    x = 21,086,528,587.56/171,146.40
  6. Step 6: Final answer
    x = 123,207.55

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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.