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Finding the Fourth Proportional to 198,825, 274,378.50 and 109,401

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Solution

The fourth proportional to 198,825, 274,378.50 and 109,401 is: 150,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,825 : 274,378.50 = 109,401 : x
  2. Step 2: Convert to fraction form
    198,825/274,378.50 = 109,401/x
  3. Step 3: Cross multiply
    198,825x = 274,378.50 × 109,401
  4. Step 4: Simplify right side
    198,825x = 30,017,282,278.50
  5. Step 5: Solve for x
    x = 30,017,282,278.50/198,825
  6. Step 6: Final answer
    x = 150,973.38

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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.