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Finding the Fourth Proportional to 71,817.25, 107,737.55 and 21,221.41

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Solution

The fourth proportional to 71,817.25, 107,737.55 and 21,221.41 is: 31,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,817.25 : 107,737.55 = 21,221.41 : x
  2. Step 2: Convert to fraction form
    71,817.25/107,737.55 = 21,221.41/x
  3. Step 3: Cross multiply
    71,817.25x = 107,737.55 × 21,221.41
  4. Step 4: Simplify right side
    71,817.25x = 2,286,342,076.15
  5. Step 5: Solve for x
    x = 2,286,342,076.15/71,817.25
  6. Step 6: Final answer
    x = 31,835.56

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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.