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Finding the Fourth Proportional to 33,180.31, 49,769.25 and 8,220.43

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Solution

The fourth proportional to 33,180.31, 49,769.25 and 8,220.43 is: 12,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.31 : 49,769.25 = 8,220.43 : x
  2. Step 2: Convert to fraction form
    33,180.31/49,769.25 = 8,220.43/x
  3. Step 3: Cross multiply
    33,180.31x = 49,769.25 × 8,220.43
  4. Step 4: Simplify right side
    33,180.31x = 409,124,635.78
  5. Step 5: Solve for x
    x = 409,124,635.78/33,180.31
  6. Step 6: Final answer
    x = 12,330.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.