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Finding the Fourth Proportional to 198,969.46, 298,424.76 and 72,580.12

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Solution

The fourth proportional to 198,969.46, 298,424.76 and 72,580.12 is: 108,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,969.46 : 298,424.76 = 72,580.12 : x
  2. Step 2: Convert to fraction form
    198,969.46/298,424.76 = 72,580.12/x
  3. Step 3: Cross multiply
    198,969.46x = 298,424.76 × 72,580.12
  4. Step 4: Simplify right side
    198,969.46x = 21,659,704,891.77
  5. Step 5: Solve for x
    x = 21,659,704,891.77/198,969.46
  6. Step 6: Final answer
    x = 108,859.44

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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.