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Finding the Fourth Proportional to 71,135.52, 106,714.80 and 21,876

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Solution

The fourth proportional to 71,135.52, 106,714.80 and 21,876 is: 32,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,135.52 : 106,714.80 = 21,876 : x
  2. Step 2: Convert to fraction form
    71,135.52/106,714.80 = 21,876/x
  3. Step 3: Cross multiply
    71,135.52x = 106,714.80 × 21,876
  4. Step 4: Simplify right side
    71,135.52x = 2,334,492,964.80
  5. Step 5: Solve for x
    x = 2,334,492,964.80/71,135.52
  6. Step 6: Final answer
    x = 32,817.54

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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.