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Finding the Fourth Proportional to 33,930.60, 50,819.10 and 20,106.60

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Solution

The fourth proportional to 33,930.60, 50,819.10 and 20,106.60 is: 30,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930.60 : 50,819.10 = 20,106.60 : x
  2. Step 2: Convert to fraction form
    33,930.60/50,819.10 = 20,106.60/x
  3. Step 3: Cross multiply
    33,930.60x = 50,819.10 × 20,106.60
  4. Step 4: Simplify right side
    33,930.60x = 1,021,799,316.06
  5. Step 5: Solve for x
    x = 1,021,799,316.06/33,930.60
  6. Step 6: Final answer
    x = 30,114.39

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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.