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Finding the Fourth Proportional to 206,418.80, 309,628.20 and 81,759.80

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Solution

The fourth proportional to 206,418.80, 309,628.20 and 81,759.80 is: 122,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,418.80 : 309,628.20 = 81,759.80 : x
  2. Step 2: Convert to fraction form
    206,418.80/309,628.20 = 81,759.80/x
  3. Step 3: Cross multiply
    206,418.80x = 309,628.20 × 81,759.80
  4. Step 4: Simplify right side
    206,418.80x = 25,315,139,706.36
  5. Step 5: Solve for x
    x = 25,315,139,706.36/206,418.80
  6. Step 6: Final answer
    x = 122,639.70

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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.