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Finding the Fourth Proportional to 77,120.80, 115,694.91 and 27,229.86

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Solution

The fourth proportional to 77,120.80, 115,694.91 and 27,229.86 is: 40,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,120.80 : 115,694.91 = 27,229.86 : x
  2. Step 2: Convert to fraction form
    77,120.80/115,694.91 = 27,229.86/x
  3. Step 3: Cross multiply
    77,120.80x = 115,694.91 × 27,229.86
  4. Step 4: Simplify right side
    77,120.80x = 3,150,356,202.01
  5. Step 5: Solve for x
    x = 3,150,356,202.01/77,120.80
  6. Step 6: Final answer
    x = 40,849.63

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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.