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Finding the Fourth Proportional to 209,314.44, 313,986.06 and 69,171.48

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Solution

The fourth proportional to 209,314.44, 313,986.06 and 69,171.48 is: 103,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,314.44 : 313,986.06 = 69,171.48 : x
  2. Step 2: Convert to fraction form
    209,314.44/313,986.06 = 69,171.48/x
  3. Step 3: Cross multiply
    209,314.44x = 313,986.06 × 69,171.48
  4. Step 4: Simplify right side
    209,314.44x = 21,718,880,469.57
  5. Step 5: Solve for x
    x = 21,718,880,469.57/209,314.44
  6. Step 6: Final answer
    x = 103,761.98

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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.