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Finding the Fourth Proportional to 206,998.92, 310,498.39 and 66,757.55

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Solution

The fourth proportional to 206,998.92, 310,498.39 and 66,757.55 is: 100,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,998.92 : 310,498.39 = 66,757.55 : x
  2. Step 2: Convert to fraction form
    206,998.92/310,498.39 = 66,757.55/x
  3. Step 3: Cross multiply
    206,998.92x = 310,498.39 × 66,757.55
  4. Step 4: Simplify right side
    206,998.92x = 20,728,110,685.31
  5. Step 5: Solve for x
    x = 20,728,110,685.31/206,998.92
  6. Step 6: Final answer
    x = 100,136.32

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1.5x scale

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.