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Finding the Fourth Proportional to 209,216.20, 313,824.30 and 68,956.60

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Solution

The fourth proportional to 209,216.20, 313,824.30 and 68,956.60 is: 103,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216.20 : 313,824.30 = 68,956.60 : x
  2. Step 2: Convert to fraction form
    209,216.20/313,824.30 = 68,956.60/x
  3. Step 3: Cross multiply
    209,216.20x = 313,824.30 × 68,956.60
  4. Step 4: Simplify right side
    209,216.20x = 21,640,256,725.38
  5. Step 5: Solve for x
    x = 21,640,256,725.38/209,216.20
  6. Step 6: Final answer
    x = 103,434.90

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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.