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Finding the Fourth Proportional to 30,198.40, 41,674.17 and 16,770.49

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Solution

The fourth proportional to 30,198.40, 41,674.17 and 16,770.49 is: 23,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.40 : 41,674.17 = 16,770.49 : x
  2. Step 2: Convert to fraction form
    30,198.40/41,674.17 = 16,770.49/x
  3. Step 3: Cross multiply
    30,198.40x = 41,674.17 × 16,770.49
  4. Step 4: Simplify right side
    30,198.40x = 698,896,251.24
  5. Step 5: Solve for x
    x = 698,896,251.24/30,198.40
  6. Step 6: Final answer
    x = 23,143.49

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