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Finding the Fourth Proportional to 77,147.64, 115,713.72 and 54,753.84

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Solution

The fourth proportional to 77,147.64, 115,713.72 and 54,753.84 is: 82,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,147.64 : 115,713.72 = 54,753.84 : x
  2. Step 2: Convert to fraction form
    77,147.64/115,713.72 = 54,753.84/x
  3. Step 3: Cross multiply
    77,147.64x = 115,713.72 × 54,753.84
  4. Step 4: Simplify right side
    77,147.64x = 6,335,770,510.68
  5. Step 5: Solve for x
    x = 6,335,770,510.68/77,147.64
  6. Step 6: Final answer
    x = 82,125.27

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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.