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Finding the Fourth Proportional to 78,571.56, 108,431.19 and 44,581.49

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Solution

The fourth proportional to 78,571.56, 108,431.19 and 44,581.49 is: 61,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,571.56 : 108,431.19 = 44,581.49 : x
  2. Step 2: Convert to fraction form
    78,571.56/108,431.19 = 44,581.49/x
  3. Step 3: Cross multiply
    78,571.56x = 108,431.19 × 44,581.49
  4. Step 4: Simplify right side
    78,571.56x = 4,834,023,470.52
  5. Step 5: Solve for x
    x = 4,834,023,470.52/78,571.56
  6. Step 6: Final answer
    x = 61,523.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.