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Finding the Fourth Proportional to 77,704.40, 107,231.92 and 43,712.91

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Solution

The fourth proportional to 77,704.40, 107,231.92 and 43,712.91 is: 60,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,704.40 : 107,231.92 = 43,712.91 : x
  2. Step 2: Convert to fraction form
    77,704.40/107,231.92 = 43,712.91/x
  3. Step 3: Cross multiply
    77,704.40x = 107,231.92 × 43,712.91
  4. Step 4: Simplify right side
    77,704.40x = 4,687,419,158.80
  5. Step 5: Solve for x
    x = 4,687,419,158.80/77,704.40
  6. Step 6: Final answer
    x = 60,323.73

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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.