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Finding the Fourth Proportional to 74,845, 103,286.22 and 41,311

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Solution

The fourth proportional to 74,845, 103,286.22 and 41,311 is: 57,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,845 : 103,286.22 = 41,311 : x
  2. Step 2: Convert to fraction form
    74,845/103,286.22 = 41,311/x
  3. Step 3: Cross multiply
    74,845x = 103,286.22 × 41,311
  4. Step 4: Simplify right side
    74,845x = 4,266,857,034.42
  5. Step 5: Solve for x
    x = 4,266,857,034.42/74,845
  6. Step 6: Final answer
    x = 57,009.25

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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.