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Finding the Fourth Proportional to 74,942.75, 103,428.56 and 41,408.75

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Solution

The fourth proportional to 74,942.75, 103,428.56 and 41,408.75 is: 57,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,942.75 : 103,428.56 = 41,408.75 : x
  2. Step 2: Convert to fraction form
    74,942.75/103,428.56 = 41,408.75/x
  3. Step 3: Cross multiply
    74,942.75x = 103,428.56 × 41,408.75
  4. Step 4: Simplify right side
    74,942.75x = 4,282,847,383.90
  5. Step 5: Solve for x
    x = 4,282,847,383.90/74,942.75
  6. Step 6: Final answer
    x = 57,148.25

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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.