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Finding the Fourth Proportional to 149,793.94, 206,732.55 and 85,279.06

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Solution

The fourth proportional to 149,793.94, 206,732.55 and 85,279.06 is: 117,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,793.94 : 206,732.55 = 85,279.06 : x
  2. Step 2: Convert to fraction form
    149,793.94/206,732.55 = 85,279.06/x
  3. Step 3: Cross multiply
    149,793.94x = 206,732.55 × 85,279.06
  4. Step 4: Simplify right side
    149,793.94x = 17,629,957,535.40
  5. Step 5: Solve for x
    x = 17,629,957,535.40/149,793.94
  6. Step 6: Final answer
    x = 117,694.73

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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.