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Finding the Fourth Proportional to 75,638.72, 113,380.23 and 33,538.63

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Solution

The fourth proportional to 75,638.72, 113,380.23 and 33,538.63 is: 50,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638.72 : 113,380.23 = 33,538.63 : x
  2. Step 2: Convert to fraction form
    75,638.72/113,380.23 = 33,538.63/x
  3. Step 3: Cross multiply
    75,638.72x = 113,380.23 × 33,538.63
  4. Step 4: Simplify right side
    75,638.72x = 3,802,617,324.63
  5. Step 5: Solve for x
    x = 3,802,617,324.63/75,638.72
  6. Step 6: Final answer
    x = 50,273.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.