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Finding the Fourth Proportional to 71,321.49, 106,982.13 and 21,401.49

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Solution

The fourth proportional to 71,321.49, 106,982.13 and 21,401.49 is: 32,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,321.49 : 106,982.13 = 21,401.49 : x
  2. Step 2: Convert to fraction form
    71,321.49/106,982.13 = 21,401.49/x
  3. Step 3: Cross multiply
    71,321.49x = 106,982.13 × 21,401.49
  4. Step 4: Simplify right side
    71,321.49x = 2,289,576,985.37
  5. Step 5: Solve for x
    x = 2,289,576,985.37/71,321.49
  6. Step 6: Final answer
    x = 32,102.20

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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.