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Finding the Fourth Proportional to 71,549.10, 107,324.64 and 21,629.61

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Solution

The fourth proportional to 71,549.10, 107,324.64 and 21,629.61 is: 32,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,549.10 : 107,324.64 = 21,629.61 : x
  2. Step 2: Convert to fraction form
    71,549.10/107,324.64 = 21,629.61/x
  3. Step 3: Cross multiply
    71,549.10x = 107,324.64 × 21,629.61
  4. Step 4: Simplify right side
    71,549.10x = 2,321,390,106.59
  5. Step 5: Solve for x
    x = 2,321,390,106.59/71,549.10
  6. Step 6: Final answer
    x = 32,444.71

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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.