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Finding the Fourth Proportional to 71,745.75, 107,602.17 and 21,131.69

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Solution

The fourth proportional to 71,745.75, 107,602.17 and 21,131.69 is: 31,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,745.75 : 107,602.17 = 21,131.69 : x
  2. Step 2: Convert to fraction form
    71,745.75/107,602.17 = 21,131.69/x
  3. Step 3: Cross multiply
    71,745.75x = 107,602.17 × 21,131.69
  4. Step 4: Simplify right side
    71,745.75x = 2,273,815,161.76
  5. Step 5: Solve for x
    x = 2,273,815,161.76/71,745.75
  6. Step 6: Final answer
    x = 31,692.68

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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.