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Finding the Fourth Proportional to 135,940, 203,910.12 and 51,680.38

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Solution

The fourth proportional to 135,940, 203,910.12 and 51,680.38 is: 77,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,940 : 203,910.12 = 51,680.38 : x
  2. Step 2: Convert to fraction form
    135,940/203,910.12 = 51,680.38/x
  3. Step 3: Cross multiply
    135,940x = 203,910.12 × 51,680.38
  4. Step 4: Simplify right side
    135,940x = 10,538,152,487.45
  5. Step 5: Solve for x
    x = 10,538,152,487.45/135,940
  6. Step 6: Final answer
    x = 77,520.62

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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.