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Finding the Fourth Proportional to 74,942.56, 103,420.48 and 41,408.48

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Solution

The fourth proportional to 74,942.56, 103,420.48 and 41,408.48 is: 57,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,942.56 : 103,420.48 = 41,408.48 : x
  2. Step 2: Convert to fraction form
    74,942.56/103,420.48 = 41,408.48/x
  3. Step 3: Cross multiply
    74,942.56x = 103,420.48 × 41,408.48
  4. Step 4: Simplify right side
    74,942.56x = 4,282,484,877.67
  5. Step 5: Solve for x
    x = 4,282,484,877.67/74,942.56
  6. Step 6: Final answer
    x = 57,143.56

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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.