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Finding the Fourth Proportional to 66,912.75, 100,408.01 and 29,976.75

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Solution

The fourth proportional to 66,912.75, 100,408.01 and 29,976.75 is: 44,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,912.75 : 100,408.01 = 29,976.75 : x
  2. Step 2: Convert to fraction form
    66,912.75/100,408.01 = 29,976.75/x
  3. Step 3: Cross multiply
    66,912.75x = 100,408.01 × 29,976.75
  4. Step 4: Simplify right side
    66,912.75x = 3,009,905,663.88
  5. Step 5: Solve for x
    x = 3,009,905,663.88/66,912.75
  6. Step 6: Final answer
    x = 44,982.54

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Why These Related Problems?

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