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Finding the Fourth Proportional to 170,865.76, 256,353.48 and 82,125.70

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Solution

The fourth proportional to 170,865.76, 256,353.48 and 82,125.70 is: 123,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,865.76 : 256,353.48 = 82,125.70 : x
  2. Step 2: Convert to fraction form
    170,865.76/256,353.48 = 82,125.70/x
  3. Step 3: Cross multiply
    170,865.76x = 256,353.48 × 82,125.70
  4. Step 4: Simplify right side
    170,865.76x = 21,053,207,300.04
  5. Step 5: Solve for x
    x = 21,053,207,300.04/170,865.76
  6. Step 6: Final answer
    x = 123,214.90

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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.