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Finding the Fourth Proportional to 170,965.54, 256,500.15 and 82,193.86

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Solution

The fourth proportional to 170,965.54, 256,500.15 and 82,193.86 is: 123,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,965.54 : 256,500.15 = 82,193.86 : x
  2. Step 2: Convert to fraction form
    170,965.54/256,500.15 = 82,193.86/x
  3. Step 3: Cross multiply
    170,965.54x = 256,500.15 × 82,193.86
  4. Step 4: Simplify right side
    170,965.54x = 21,082,737,419.08
  5. Step 5: Solve for x
    x = 21,082,737,419.08/170,965.54
  6. Step 6: Final answer
    x = 123,315.71

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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.