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Finding the Fourth Proportional to 77,081.76, 115,551.60 and 27,134.64

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Solution

The fourth proportional to 77,081.76, 115,551.60 and 27,134.64 is: 40,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,081.76 : 115,551.60 = 27,134.64 : x
  2. Step 2: Convert to fraction form
    77,081.76/115,551.60 = 27,134.64/x
  3. Step 3: Cross multiply
    77,081.76x = 115,551.60 × 27,134.64
  4. Step 4: Simplify right side
    77,081.76x = 3,135,451,067.42
  5. Step 5: Solve for x
    x = 3,135,451,067.42/77,081.76
  6. Step 6: Final answer
    x = 40,676.95

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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.