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Finding the Fourth Proportional to 83,586, 125,379.12 and 28,182

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Solution

The fourth proportional to 83,586, 125,379.12 and 28,182 is: 42,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,586 : 125,379.12 = 28,182 : x
  2. Step 2: Convert to fraction form
    83,586/125,379.12 = 28,182/x
  3. Step 3: Cross multiply
    83,586x = 125,379.12 × 28,182
  4. Step 4: Simplify right side
    83,586x = 3,533,434,359.84
  5. Step 5: Solve for x
    x = 3,533,434,359.84/83,586
  6. Step 6: Final answer
    x = 42,273.04

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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.