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Finding the Fourth Proportional to 209,218.20, 313,825.86 and 68,988.12

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Solution

The fourth proportional to 209,218.20, 313,825.86 and 68,988.12 is: 103,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,218.20 : 313,825.86 = 68,988.12 : x
  2. Step 2: Convert to fraction form
    209,218.20/313,825.86 = 68,988.12/x
  3. Step 3: Cross multiply
    209,218.20x = 313,825.86 × 68,988.12
  4. Step 4: Simplify right side
    209,218.20x = 21,650,256,088.78
  5. Step 5: Solve for x
    x = 21,650,256,088.78/209,218.20
  6. Step 6: Final answer
    x = 103,481.71

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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.