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Finding the Fourth Proportional to 206,731.48, 309,900.39 and 66,391.69

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Solution

The fourth proportional to 206,731.48, 309,900.39 and 66,391.69 is: 99,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,731.48 : 309,900.39 = 66,391.69 : x
  2. Step 2: Convert to fraction form
    206,731.48/309,900.39 = 66,391.69/x
  3. Step 3: Cross multiply
    206,731.48x = 309,900.39 × 66,391.69
  4. Step 4: Simplify right side
    206,731.48x = 20,574,809,517.05
  5. Step 5: Solve for x
    x = 20,574,809,517.05/206,731.48
  6. Step 6: Final answer
    x = 99,524.32

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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.