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Finding the Fourth Proportional to 213,819.30, 320,717.34 and 80,696.34

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Solution

The fourth proportional to 213,819.30, 320,717.34 and 80,696.34 is: 121,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,819.30 : 320,717.34 = 80,696.34 : x
  2. Step 2: Convert to fraction form
    213,819.30/320,717.34 = 80,696.34/x
  3. Step 3: Cross multiply
    213,819.30x = 320,717.34 × 80,696.34
  4. Step 4: Simplify right side
    213,819.30x = 25,880,715,512.54
  5. Step 5: Solve for x
    x = 25,880,715,512.54/213,819.30
  6. Step 6: Final answer
    x = 121,040.13

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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.