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Finding the Fourth Proportional to 70,914, 106,376.12 and 27,138

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Solution

The fourth proportional to 70,914, 106,376.12 and 27,138 is: 40,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,914 : 106,376.12 = 27,138 : x
  2. Step 2: Convert to fraction form
    70,914/106,376.12 = 27,138/x
  3. Step 3: Cross multiply
    70,914x = 106,376.12 × 27,138
  4. Step 4: Simplify right side
    70,914x = 2,886,835,144.56
  5. Step 5: Solve for x
    x = 2,886,835,144.56/70,914
  6. Step 6: Final answer
    x = 40,708.96

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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.