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Finding the Fourth Proportional to 209,084.70, 313,627.05 and 68,825.10

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Solution

The fourth proportional to 209,084.70, 313,627.05 and 68,825.10 is: 103,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,084.70 : 313,627.05 = 68,825.10 : x
  2. Step 2: Convert to fraction form
    209,084.70/313,627.05 = 68,825.10/x
  3. Step 3: Cross multiply
    209,084.70x = 313,627.05 × 68,825.10
  4. Step 4: Simplify right side
    209,084.70x = 21,585,413,078.96
  5. Step 5: Solve for x
    x = 21,585,413,078.96/209,084.70
  6. Step 6: Final answer
    x = 103,237.65

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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.