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Finding the Fourth Proportional to 71,786.45, 107,695.05 and 21,870.56

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Solution

The fourth proportional to 71,786.45, 107,695.05 and 21,870.56 is: 32,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.45 : 107,695.05 = 21,870.56 : x
  2. Step 2: Convert to fraction form
    71,786.45/107,695.05 = 21,870.56/x
  3. Step 3: Cross multiply
    71,786.45x = 107,695.05 × 21,870.56
  4. Step 4: Simplify right side
    71,786.45x = 2,355,351,052.73
  5. Step 5: Solve for x
    x = 2,355,351,052.73/71,786.45
  6. Step 6: Final answer
    x = 32,810.52

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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.