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Finding the Fourth Proportional to 206,473.94, 309,764.19 and 66,233.78

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Solution

The fourth proportional to 206,473.94, 309,764.19 and 66,233.78 is: 99,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,473.94 : 309,764.19 = 66,233.78 : x
  2. Step 2: Convert to fraction form
    206,473.94/309,764.19 = 66,233.78/x
  3. Step 3: Cross multiply
    206,473.94x = 309,764.19 × 66,233.78
  4. Step 4: Simplify right side
    206,473.94x = 20,516,853,212.34
  5. Step 5: Solve for x
    x = 20,516,853,212.34/206,473.94
  6. Step 6: Final answer
    x = 99,367.76

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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.