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Finding the Fourth Proportional to 71,166.37, 106,745.91 and 21,246.88

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Solution

The fourth proportional to 71,166.37, 106,745.91 and 21,246.88 is: 31,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,166.37 : 106,745.91 = 21,246.88 : x
  2. Step 2: Convert to fraction form
    71,166.37/106,745.91 = 21,246.88/x
  3. Step 3: Cross multiply
    71,166.37x = 106,745.91 × 21,246.88
  4. Step 4: Simplify right side
    71,166.37x = 2,268,017,540.26
  5. Step 5: Solve for x
    x = 2,268,017,540.26/71,166.37
  6. Step 6: Final answer
    x = 31,869.23

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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.