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Finding the Fourth Proportional to 100,679.84, 151,070.52 and 71,286.56

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Solution

The fourth proportional to 100,679.84, 151,070.52 and 71,286.56 is: 106,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,679.84 : 151,070.52 = 71,286.56 : x
  2. Step 2: Convert to fraction form
    100,679.84/151,070.52 = 71,286.56/x
  3. Step 3: Cross multiply
    100,679.84x = 151,070.52 × 71,286.56
  4. Step 4: Simplify right side
    100,679.84x = 10,769,297,688.21
  5. Step 5: Solve for x
    x = 10,769,297,688.21/100,679.84
  6. Step 6: Final answer
    x = 106,965.78

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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.