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Finding the Fourth Proportional to 71,754.58, 107,635.91 and 21,836.30

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Solution

The fourth proportional to 71,754.58, 107,635.91 and 21,836.30 is: 32,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,754.58 : 107,635.91 = 21,836.30 : x
  2. Step 2: Convert to fraction form
    71,754.58/107,635.91 = 21,836.30/x
  3. Step 3: Cross multiply
    71,754.58x = 107,635.91 × 21,836.30
  4. Step 4: Simplify right side
    71,754.58x = 2,350,370,021.53
  5. Step 5: Solve for x
    x = 2,350,370,021.53/71,754.58
  6. Step 6: Final answer
    x = 32,755.68

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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.