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Finding the Fourth Proportional to 206,571.78, 309,871.77 and 66,321.90

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Solution

The fourth proportional to 206,571.78, 309,871.77 and 66,321.90 is: 99,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,571.78 : 309,871.77 = 66,321.90 : x
  2. Step 2: Convert to fraction form
    206,571.78/309,871.77 = 66,321.90/x
  3. Step 3: Cross multiply
    206,571.78x = 309,871.77 × 66,321.90
  4. Step 4: Simplify right side
    206,571.78x = 20,551,284,542.76
  5. Step 5: Solve for x
    x = 20,551,284,542.76/206,571.78
  6. Step 6: Final answer
    x = 99,487.38

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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.