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Finding the Fourth Proportional to 48,912.32, 73,308 and 27,870

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Solution

The fourth proportional to 48,912.32, 73,308 and 27,870 is: 41,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,912.32 : 73,308 = 27,870 : x
  2. Step 2: Convert to fraction form
    48,912.32/73,308 = 27,870/x
  3. Step 3: Cross multiply
    48,912.32x = 73,308 × 27,870
  4. Step 4: Simplify right side
    48,912.32x = 2,043,093,960
  5. Step 5: Solve for x
    x = 2,043,093,960/48,912.32
  6. Step 6: Final answer
    x = 41,770.54

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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.