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Finding the Fourth Proportional to 198,808, 274,355.04 and 109,384

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Solution

The fourth proportional to 198,808, 274,355.04 and 109,384 is: 150,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,808 : 274,355.04 = 109,384 : x
  2. Step 2: Convert to fraction form
    198,808/274,355.04 = 109,384/x
  3. Step 3: Cross multiply
    198,808x = 274,355.04 × 109,384
  4. Step 4: Simplify right side
    198,808x = 30,010,051,695.36
  5. Step 5: Solve for x
    x = 30,010,051,695.36/198,808
  6. Step 6: Final answer
    x = 150,949.92

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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.