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Finding the Fourth Proportional to 71,311.08, 106,964.70 and 21,391.08

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Solution

The fourth proportional to 71,311.08, 106,964.70 and 21,391.08 is: 32,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,311.08 : 106,964.70 = 21,391.08 : x
  2. Step 2: Convert to fraction form
    71,311.08/106,964.70 = 21,391.08/x
  3. Step 3: Cross multiply
    71,311.08x = 106,964.70 × 21,391.08
  4. Step 4: Simplify right side
    71,311.08x = 2,288,090,454.88
  5. Step 5: Solve for x
    x = 2,288,090,454.88/71,311.08
  6. Step 6: Final answer
    x = 32,086.04

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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.