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Finding the Fourth Proportional to 170,869.76, 256,359.47 and 82,129.70

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Solution

The fourth proportional to 170,869.76, 256,359.47 and 82,129.70 is: 123,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,869.76 : 256,359.47 = 82,129.70 : x
  2. Step 2: Convert to fraction form
    170,869.76/256,359.47 = 82,129.70/x
  3. Step 3: Cross multiply
    170,869.76x = 256,359.47 × 82,129.70
  4. Step 4: Simplify right side
    170,869.76x = 21,054,726,363.26
  5. Step 5: Solve for x
    x = 21,054,726,363.26/170,869.76
  6. Step 6: Final answer
    x = 123,220.90

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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.