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Finding the Fourth Proportional to 198,694.98, 298,034.91 and 65,571.30

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Solution

The fourth proportional to 198,694.98, 298,034.91 and 65,571.30 is: 98,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,694.98 : 298,034.91 = 65,571.30 : x
  2. Step 2: Convert to fraction form
    198,694.98/298,034.91 = 65,571.30/x
  3. Step 3: Cross multiply
    198,694.98x = 298,034.91 × 65,571.30
  4. Step 4: Simplify right side
    198,694.98x = 19,542,536,494.08
  5. Step 5: Solve for x
    x = 19,542,536,494.08/198,694.98
  6. Step 6: Final answer
    x = 98,354.46

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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.