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Finding the Fourth Proportional to 71,286.21, 106,915.70 and 21,366.30

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Solution

The fourth proportional to 71,286.21, 106,915.70 and 21,366.30 is: 32,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,286.21 : 106,915.70 = 21,366.30 : x
  2. Step 2: Convert to fraction form
    71,286.21/106,915.70 = 21,366.30/x
  3. Step 3: Cross multiply
    71,286.21x = 106,915.70 × 21,366.30
  4. Step 4: Simplify right side
    71,286.21x = 2,284,392,974.33
  5. Step 5: Solve for x
    x = 2,284,392,974.33/71,286.21
  6. Step 6: Final answer
    x = 32,045.37

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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.