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Finding the Fourth Proportional to 71,321.74, 106,982.51 and 21,401.75

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Solution

The fourth proportional to 71,321.74, 106,982.51 and 21,401.75 is: 32,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,321.74 : 106,982.51 = 21,401.75 : x
  2. Step 2: Convert to fraction form
    71,321.74/106,982.51 = 21,401.75/x
  3. Step 3: Cross multiply
    71,321.74x = 106,982.51 × 21,401.75
  4. Step 4: Simplify right side
    71,321.74x = 2,289,613,093.84
  5. Step 5: Solve for x
    x = 2,289,613,093.84/71,321.74
  6. Step 6: Final answer
    x = 32,102.60

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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.