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Finding the Fourth Proportional to 198,958.11, 298,474.08 and 65,839.50

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Solution

The fourth proportional to 198,958.11, 298,474.08 and 65,839.50 is: 98,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,958.11 : 298,474.08 = 65,839.50 : x
  2. Step 2: Convert to fraction form
    198,958.11/298,474.08 = 65,839.50/x
  3. Step 3: Cross multiply
    198,958.11x = 298,474.08 × 65,839.50
  4. Step 4: Simplify right side
    198,958.11x = 19,651,384,190.16
  5. Step 5: Solve for x
    x = 19,651,384,190.16/198,958.11
  6. Step 6: Final answer
    x = 98,771.47

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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.