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Finding the Fourth Proportional to 209,111.86, 313,491.46 and 90,694

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Solution

The fourth proportional to 209,111.86, 313,491.46 and 90,694 is: 135,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,111.86 : 313,491.46 = 90,694 : x
  2. Step 2: Convert to fraction form
    209,111.86/313,491.46 = 90,694/x
  3. Step 3: Cross multiply
    209,111.86x = 313,491.46 × 90,694
  4. Step 4: Simplify right side
    209,111.86x = 28,431,794,473.24
  5. Step 5: Solve for x
    x = 28,431,794,473.24/209,111.86
  6. Step 6: Final answer
    x = 135,964.52

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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.