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Finding the Fourth Proportional to 206,627.40, 309,911.67 and 66,367.80

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Solution

The fourth proportional to 206,627.40, 309,911.67 and 66,367.80 is: 99,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,627.40 : 309,911.67 = 66,367.80 : x
  2. Step 2: Convert to fraction form
    206,627.40/309,911.67 = 66,367.80/x
  3. Step 3: Cross multiply
    206,627.40x = 309,911.67 × 66,367.80
  4. Step 4: Simplify right side
    206,627.40x = 20,568,155,732.23
  5. Step 5: Solve for x
    x = 20,568,155,732.23/206,627.40
  6. Step 6: Final answer
    x = 99,542.25

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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.