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Finding the Fourth Proportional to 209,309.41, 313,974.98 and 69,078.97

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Solution

The fourth proportional to 209,309.41, 313,974.98 and 69,078.97 is: 103,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,309.41 : 313,974.98 = 69,078.97 : x
  2. Step 2: Convert to fraction form
    209,309.41/313,974.98 = 69,078.97/x
  3. Step 3: Cross multiply
    209,309.41x = 313,974.98 × 69,078.97
  4. Step 4: Simplify right side
    209,309.41x = 21,689,067,878.78
  5. Step 5: Solve for x
    x = 21,689,067,878.78/209,309.41
  6. Step 6: Final answer
    x = 103,622.04

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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.