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Finding the Fourth Proportional to 198,397, 273,806.22 and 108,990.28

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Solution

The fourth proportional to 198,397, 273,806.22 and 108,990.28 is: 150,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,397 : 273,806.22 = 108,990.28 : x
  2. Step 2: Convert to fraction form
    198,397/273,806.22 = 108,990.28/x
  3. Step 3: Cross multiply
    198,397x = 273,806.22 × 108,990.28
  4. Step 4: Simplify right side
    198,397x = 29,842,216,583.54
  5. Step 5: Solve for x
    x = 29,842,216,583.54/198,397
  6. Step 6: Final answer
    x = 150,416.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.