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Finding the Fourth Proportional to 206,439.90, 284,891.67 and 125,871.90

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Solution

The fourth proportional to 206,439.90, 284,891.67 and 125,871.90 is: 173,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,439.90 : 284,891.67 = 125,871.90 : x
  2. Step 2: Convert to fraction form
    206,439.90/284,891.67 = 125,871.90/x
  3. Step 3: Cross multiply
    206,439.90x = 284,891.67 × 125,871.90
  4. Step 4: Simplify right side
    206,439.90x = 35,859,855,797.07
  5. Step 5: Solve for x
    x = 35,859,855,797.07/206,439.90
  6. Step 6: Final answer
    x = 173,706.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.