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Finding the Fourth Proportional to 198,687.96, 298,042.20 and 65,578.56

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Solution

The fourth proportional to 198,687.96, 298,042.20 and 65,578.56 is: 98,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,687.96 : 298,042.20 = 65,578.56 : x
  2. Step 2: Convert to fraction form
    198,687.96/298,042.20 = 65,578.56/x
  3. Step 3: Cross multiply
    198,687.96x = 298,042.20 × 65,578.56
  4. Step 4: Simplify right side
    198,687.96x = 19,545,178,295.23
  5. Step 5: Solve for x
    x = 19,545,178,295.23/198,687.96
  6. Step 6: Final answer
    x = 98,371.23

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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.