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Finding the Fourth Proportional to 206,806.22, 310,474.98 and 159,451.39

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Solution

The fourth proportional to 206,806.22, 310,474.98 and 159,451.39 is: 239,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,806.22 : 310,474.98 = 159,451.39 : x
  2. Step 2: Convert to fraction form
    206,806.22/310,474.98 = 159,451.39/x
  3. Step 3: Cross multiply
    206,806.22x = 310,474.98 × 159,451.39
  4. Step 4: Simplify right side
    206,806.22x = 49,505,667,121.22
  5. Step 5: Solve for x
    x = 49,505,667,121.22/206,806.22
  6. Step 6: Final answer
    x = 239,381.91

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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.