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Finding the Fourth Proportional to 206,121.98, 308,658.07 and 135,788.06

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Solution

The fourth proportional to 206,121.98, 308,658.07 and 135,788.06 is: 203,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,121.98 : 308,658.07 = 135,788.06 : x
  2. Step 2: Convert to fraction form
    206,121.98/308,658.07 = 135,788.06/x
  3. Step 3: Cross multiply
    206,121.98x = 308,658.07 × 135,788.06
  4. Step 4: Simplify right side
    206,121.98x = 41,912,078,645.88
  5. Step 5: Solve for x
    x = 41,912,078,645.88/206,121.98
  6. Step 6: Final answer
    x = 203,336.29

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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.