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Finding the Fourth Proportional to 149,436, 206,221.68 and 82,369.44

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Solution

The fourth proportional to 149,436, 206,221.68 and 82,369.44 is: 113,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,436 : 206,221.68 = 82,369.44 : x
  2. Step 2: Convert to fraction form
    149,436/206,221.68 = 82,369.44/x
  3. Step 3: Cross multiply
    149,436x = 206,221.68 × 82,369.44
  4. Step 4: Simplify right side
    149,436x = 16,986,364,297.46
  5. Step 5: Solve for x
    x = 16,986,364,297.46/149,436
  6. Step 6: Final answer
    x = 113,669.83

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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.