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Finding the Fourth Proportional to 27,205.80, 40,743.90 and 16,708.20

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Solution

The fourth proportional to 27,205.80, 40,743.90 and 16,708.20 is: 25,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.80 : 40,743.90 = 16,708.20 : x
  2. Step 2: Convert to fraction form
    27,205.80/40,743.90 = 16,708.20/x
  3. Step 3: Cross multiply
    27,205.80x = 40,743.90 × 16,708.20
  4. Step 4: Simplify right side
    27,205.80x = 680,757,229.98
  5. Step 5: Solve for x
    x = 680,757,229.98/27,205.80
  6. Step 6: Final answer
    x = 25,022.50

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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.