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Finding the Fourth Proportional to 206,997.75, 310,231.71 and 107,139.33

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Solution

The fourth proportional to 206,997.75, 310,231.71 and 107,139.33 is: 160,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,997.75 : 310,231.71 = 107,139.33 : x
  2. Step 2: Convert to fraction form
    206,997.75/310,231.71 = 107,139.33/x
  3. Step 3: Cross multiply
    206,997.75x = 310,231.71 × 107,139.33
  4. Step 4: Simplify right side
    206,997.75x = 33,238,017,554.15
  5. Step 5: Solve for x
    x = 33,238,017,554.15/206,997.75
  6. Step 6: Final answer
    x = 160,571.88

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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.