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Finding the Fourth Proportional to 67,321.80, 100,982.70 and 27,868.32

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Solution

The fourth proportional to 67,321.80, 100,982.70 and 27,868.32 is: 41,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,321.80 : 100,982.70 = 27,868.32 : x
  2. Step 2: Convert to fraction form
    67,321.80/100,982.70 = 27,868.32/x
  3. Step 3: Cross multiply
    67,321.80x = 100,982.70 × 27,868.32
  4. Step 4: Simplify right side
    67,321.80x = 2,814,218,198.06
  5. Step 5: Solve for x
    x = 2,814,218,198.06/67,321.80
  6. Step 6: Final answer
    x = 41,802.48

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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.