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Finding the Fourth Proportional to 206,121.98, 308,494.05 and 117,351.65

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Solution

The fourth proportional to 206,121.98, 308,494.05 and 117,351.65 is: 175,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,121.98 : 308,494.05 = 117,351.65 : x
  2. Step 2: Convert to fraction form
    206,121.98/308,494.05 = 117,351.65/x
  3. Step 3: Cross multiply
    206,121.98x = 308,494.05 × 117,351.65
  4. Step 4: Simplify right side
    206,121.98x = 36,202,285,782.68
  5. Step 5: Solve for x
    x = 36,202,285,782.68/206,121.98
  6. Step 6: Final answer
    x = 175,635.25

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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.