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Finding the Fourth Proportional to 71,771.87, 107,673.92 and 21,855.91

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Solution

The fourth proportional to 71,771.87, 107,673.92 and 21,855.91 is: 32,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,771.87 : 107,673.92 = 21,855.91 : x
  2. Step 2: Convert to fraction form
    71,771.87/107,673.92 = 21,855.91/x
  3. Step 3: Cross multiply
    71,771.87x = 107,673.92 × 21,855.91
  4. Step 4: Simplify right side
    71,771.87x = 2,353,311,533.19
  5. Step 5: Solve for x
    x = 2,353,311,533.19/71,771.87
  6. Step 6: Final answer
    x = 32,788.77

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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.