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Finding the Fourth Proportional to 149,907, 206,872.20 and 82,839

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Solution

The fourth proportional to 149,907, 206,872.20 and 82,839 is: 114,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,907 : 206,872.20 = 82,839 : x
  2. Step 2: Convert to fraction form
    149,907/206,872.20 = 82,839/x
  3. Step 3: Cross multiply
    149,907x = 206,872.20 × 82,839
  4. Step 4: Simplify right side
    149,907x = 17,137,086,175.80
  5. Step 5: Solve for x
    x = 17,137,086,175.80/149,907
  6. Step 6: Final answer
    x = 114,318.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.