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Finding the Fourth Proportional to 77,708.70, 107,231.87 and 43,710.41

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Solution

The fourth proportional to 77,708.70, 107,231.87 and 43,710.41 is: 60,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,708.70 : 107,231.87 = 43,710.41 : x
  2. Step 2: Convert to fraction form
    77,708.70/107,231.87 = 43,710.41/x
  3. Step 3: Cross multiply
    77,708.70x = 107,231.87 × 43,710.41
  4. Step 4: Simplify right side
    77,708.70x = 4,687,149,052.29
  5. Step 5: Solve for x
    x = 4,687,149,052.29/77,708.70
  6. Step 6: Final answer
    x = 60,316.91

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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.