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Finding the Fourth Proportional to 75,289.28, 103,900 and 41,757.44

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Solution

The fourth proportional to 75,289.28, 103,900 and 41,757.44 is: 57,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,289.28 : 103,900 = 41,757.44 : x
  2. Step 2: Convert to fraction form
    75,289.28/103,900 = 41,757.44/x
  3. Step 3: Cross multiply
    75,289.28x = 103,900 × 41,757.44
  4. Step 4: Simplify right side
    75,289.28x = 4,338,598,016
  5. Step 5: Solve for x
    x = 4,338,598,016/75,289.28
  6. Step 6: Final answer
    x = 57,625.71

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