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Finding the Fourth Proportional to 71,324.82, 106,997.66 and 21,408.86

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Solution

The fourth proportional to 71,324.82, 106,997.66 and 21,408.86 is: 32,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,324.82 : 106,997.66 = 21,408.86 : x
  2. Step 2: Convert to fraction form
    71,324.82/106,997.66 = 21,408.86/x
  3. Step 3: Cross multiply
    71,324.82x = 106,997.66 × 21,408.86
  4. Step 4: Simplify right side
    71,324.82x = 2,290,697,281.24
  5. Step 5: Solve for x
    x = 2,290,697,281.24/71,324.82
  6. Step 6: Final answer
    x = 32,116.41

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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.