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Finding the Fourth Proportional to 209,198, 313,797 and 61,454

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Solution

The fourth proportional to 209,198, 313,797 and 61,454 is: 92,181

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,198 : 313,797 = 61,454 : x
  2. Step 2: Convert to fraction form
    209,198/313,797 = 61,454/x
  3. Step 3: Cross multiply
    209,198x = 313,797 × 61,454
  4. Step 4: Simplify right side
    209,198x = 19,284,080,838
  5. Step 5: Solve for x
    x = 19,284,080,838/209,198
  6. Step 6: Final answer
    x = 92,181

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.