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Finding the Fourth Proportional to 198,550, 297,825 and 50,806

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Solution

The fourth proportional to 198,550, 297,825 and 50,806 is: 76,209

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,550 : 297,825 = 50,806 : x
  2. Step 2: Convert to fraction form
    198,550/297,825 = 50,806/x
  3. Step 3: Cross multiply
    198,550x = 297,825 × 50,806
  4. Step 4: Simplify right side
    198,550x = 15,131,296,950
  5. Step 5: Solve for x
    x = 15,131,296,950/198,550
  6. Step 6: Final answer
    x = 76,209

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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.