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Finding the Fourth Proportional to 71,821.92, 107,754.84 and 36,786.36

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Solution

The fourth proportional to 71,821.92, 107,754.84 and 36,786.36 is: 55,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,821.92 : 107,754.84 = 36,786.36 : x
  2. Step 2: Convert to fraction form
    71,821.92/107,754.84 = 36,786.36/x
  3. Step 3: Cross multiply
    71,821.92x = 107,754.84 × 36,786.36
  4. Step 4: Simplify right side
    71,821.92x = 3,963,908,335.98
  5. Step 5: Solve for x
    x = 3,963,908,335.98/71,821.92
  6. Step 6: Final answer
    x = 55,190.79

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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.