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Finding the Fourth Proportional to 71,773.24, 107,665.36 and 21,857.58

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Solution

The fourth proportional to 71,773.24, 107,665.36 and 21,857.58 is: 32,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,773.24 : 107,665.36 = 21,857.58 : x
  2. Step 2: Convert to fraction form
    71,773.24/107,665.36 = 21,857.58/x
  3. Step 3: Cross multiply
    71,773.24x = 107,665.36 × 21,857.58
  4. Step 4: Simplify right side
    71,773.24x = 2,353,304,219.43
  5. Step 5: Solve for x
    x = 2,353,304,219.43/71,773.24
  6. Step 6: Final answer
    x = 32,788.04

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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.