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Finding the Fourth Proportional to 71,324.34, 106,971.01 and 21,391.02

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Solution

The fourth proportional to 71,324.34, 106,971.01 and 21,391.02 is: 32,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,324.34 : 106,971.01 = 21,391.02 : x
  2. Step 2: Convert to fraction form
    71,324.34/106,971.01 = 21,391.02/x
  3. Step 3: Cross multiply
    71,324.34x = 106,971.01 × 21,391.02
  4. Step 4: Simplify right side
    71,324.34x = 2,288,219,014.33
  5. Step 5: Solve for x
    x = 2,288,219,014.33/71,324.34
  6. Step 6: Final answer
    x = 32,081.88

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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.