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Finding the Fourth Proportional to 81,930.52, 113,072.64 and 50,120.60

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Solution

The fourth proportional to 81,930.52, 113,072.64 and 50,120.60 is: 69,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.52 : 113,072.64 = 50,120.60 : x
  2. Step 2: Convert to fraction form
    81,930.52/113,072.64 = 50,120.60/x
  3. Step 3: Cross multiply
    81,930.52x = 113,072.64 × 50,120.60
  4. Step 4: Simplify right side
    81,930.52x = 5,667,268,560.38
  5. Step 5: Solve for x
    x = 5,667,268,560.38/81,930.52
  6. Step 6: Final answer
    x = 69,171.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.