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Finding the Fourth Proportional to 74,456, 102,749.44 and 40,922.24

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Solution

The fourth proportional to 74,456, 102,749.44 and 40,922.24 is: 56,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,456 : 102,749.44 = 40,922.24 : x
  2. Step 2: Convert to fraction form
    74,456/102,749.44 = 40,922.24/x
  3. Step 3: Cross multiply
    74,456x = 102,749.44 × 40,922.24
  4. Step 4: Simplify right side
    74,456x = 4,204,737,243.55
  5. Step 5: Solve for x
    x = 4,204,737,243.55/74,456
  6. Step 6: Final answer
    x = 56,472.78

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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.