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Finding the Fourth Proportional to 57,806.38, 86,727.05 and 40,971.95

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Solution

The fourth proportional to 57,806.38, 86,727.05 and 40,971.95 is: 61,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.38 : 86,727.05 = 40,971.95 : x
  2. Step 2: Convert to fraction form
    57,806.38/86,727.05 = 40,971.95/x
  3. Step 3: Cross multiply
    57,806.38x = 86,727.05 × 40,971.95
  4. Step 4: Simplify right side
    57,806.38x = 3,553,375,717.75
  5. Step 5: Solve for x
    x = 3,553,375,717.75/57,806.38
  6. Step 6: Final answer
    x = 61,470.31

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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.