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Finding the Fourth Proportional to 71,772.87, 107,675.42 and 21,856.91

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Solution

The fourth proportional to 71,772.87, 107,675.42 and 21,856.91 is: 32,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,772.87 : 107,675.42 = 21,856.91 : x
  2. Step 2: Convert to fraction form
    71,772.87/107,675.42 = 21,856.91/x
  3. Step 3: Cross multiply
    71,772.87x = 107,675.42 × 21,856.91
  4. Step 4: Simplify right side
    71,772.87x = 2,353,451,964.15
  5. Step 5: Solve for x
    x = 2,353,451,964.15/71,772.87
  6. Step 6: Final answer
    x = 32,790.27

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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.