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Finding the Fourth Proportional to 149,419.54, 206,198.49 and 82,351.54

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Solution

The fourth proportional to 149,419.54, 206,198.49 and 82,351.54 is: 113,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,419.54 : 206,198.49 = 82,351.54 : x
  2. Step 2: Convert to fraction form
    149,419.54/206,198.49 = 82,351.54/x
  3. Step 3: Cross multiply
    149,419.54x = 206,198.49 × 82,351.54
  4. Step 4: Simplify right side
    149,419.54x = 16,980,763,197.17
  5. Step 5: Solve for x
    x = 16,980,763,197.17/149,419.54
  6. Step 6: Final answer
    x = 113,644.86

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1.5x scale

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.