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Finding the Fourth Proportional to 71,773.24, 107,665.38 and 21,857.56

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Solution

The fourth proportional to 71,773.24, 107,665.38 and 21,857.56 is: 32,788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,773.24 : 107,665.38 = 21,857.56 : x
  2. Step 2: Convert to fraction form
    71,773.24/107,665.38 = 21,857.56/x
  3. Step 3: Cross multiply
    71,773.24x = 107,665.38 × 21,857.56
  4. Step 4: Simplify right side
    71,773.24x = 2,353,302,503.27
  5. Step 5: Solve for x
    x = 2,353,302,503.27/71,773.24
  6. Step 6: Final answer
    x = 32,788.02

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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.