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Finding the Fourth Proportional to 170,784.70, 256,177.05 and 82,016.80

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Solution

The fourth proportional to 170,784.70, 256,177.05 and 82,016.80 is: 123,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,784.70 : 256,177.05 = 82,016.80 : x
  2. Step 2: Convert to fraction form
    170,784.70/256,177.05 = 82,016.80/x
  3. Step 3: Cross multiply
    170,784.70x = 256,177.05 × 82,016.80
  4. Step 4: Simplify right side
    170,784.70x = 21,010,821,874.44
  5. Step 5: Solve for x
    x = 21,010,821,874.44/170,784.70
  6. Step 6: Final answer
    x = 123,025.20

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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.