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Finding the Fourth Proportional to 198,775, 274,309.50 and 109,351

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Solution

The fourth proportional to 198,775, 274,309.50 and 109,351 is: 150,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,775 : 274,309.50 = 109,351 : x
  2. Step 2: Convert to fraction form
    198,775/274,309.50 = 109,351/x
  3. Step 3: Cross multiply
    198,775x = 274,309.50 × 109,351
  4. Step 4: Simplify right side
    198,775x = 29,996,018,134.50
  5. Step 5: Solve for x
    x = 29,996,018,134.50/198,775
  6. Step 6: Final answer
    x = 150,904.38

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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.