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Finding the Fourth Proportional to 198,611.82, 297,823.89 and 72,163.92

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Solution

The fourth proportional to 198,611.82, 297,823.89 and 72,163.92 is: 108,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,611.82 : 297,823.89 = 72,163.92 : x
  2. Step 2: Convert to fraction form
    198,611.82/297,823.89 = 72,163.92/x
  3. Step 3: Cross multiply
    198,611.82x = 297,823.89 × 72,163.92
  4. Step 4: Simplify right side
    198,611.82x = 21,492,139,372.05
  5. Step 5: Solve for x
    x = 21,492,139,372.05/198,611.82
  6. Step 6: Final answer
    x = 108,211.78

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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.