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Finding the Fourth Proportional to 206,033.85, 309,049.70 and 65,789.37

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Solution

The fourth proportional to 206,033.85, 309,049.70 and 65,789.37 is: 98,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,033.85 : 309,049.70 = 65,789.37 : x
  2. Step 2: Convert to fraction form
    206,033.85/309,049.70 = 65,789.37/x
  3. Step 3: Cross multiply
    206,033.85x = 309,049.70 × 65,789.37
  4. Step 4: Simplify right side
    206,033.85x = 20,332,184,732.74
  5. Step 5: Solve for x
    x = 20,332,184,732.74/206,033.85
  6. Step 6: Final answer
    x = 98,683.71

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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.