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Finding the Fourth Proportional to 206,439.40, 284,890.98 and 125,871.40

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Solution

The fourth proportional to 206,439.40, 284,890.98 and 125,871.40 is: 173,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,439.40 : 284,890.98 = 125,871.40 : x
  2. Step 2: Convert to fraction form
    206,439.40/284,890.98 = 125,871.40/x
  3. Step 3: Cross multiply
    206,439.40x = 284,890.98 × 125,871.40
  4. Step 4: Simplify right side
    206,439.40x = 35,859,626,499.97
  5. Step 5: Solve for x
    x = 35,859,626,499.97/206,439.40
  6. Step 6: Final answer
    x = 173,705.34

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1.5x scale

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.