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Finding the Fourth Proportional to 70,761.60, 106,144.02 and 18,171.54

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Solution

The fourth proportional to 70,761.60, 106,144.02 and 18,171.54 is: 27,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,761.60 : 106,144.02 = 18,171.54 : x
  2. Step 2: Convert to fraction form
    70,761.60/106,144.02 = 18,171.54/x
  3. Step 3: Cross multiply
    70,761.60x = 106,144.02 × 18,171.54
  4. Step 4: Simplify right side
    70,761.60x = 1,928,800,305.19
  5. Step 5: Solve for x
    x = 1,928,800,305.19/70,761.60
  6. Step 6: Final answer
    x = 27,257.73

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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.