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Finding the Fourth Proportional to 77,198.98, 115,786.63 and 21,043.61

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Solution

The fourth proportional to 77,198.98, 115,786.63 and 21,043.61 is: 31,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,198.98 : 115,786.63 = 21,043.61 : x
  2. Step 2: Convert to fraction form
    77,198.98/115,786.63 = 21,043.61/x
  3. Step 3: Cross multiply
    77,198.98x = 115,786.63 × 21,043.61
  4. Step 4: Simplify right side
    77,198.98x = 2,436,568,000.78
  5. Step 5: Solve for x
    x = 2,436,568,000.78/77,198.98
  6. Step 6: Final answer
    x = 31,562.18

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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.