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Finding the Fourth Proportional to 50,274, 69,378.14 and 27,918

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Solution

The fourth proportional to 50,274, 69,378.14 and 27,918 is: 38,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,274 : 69,378.14 = 27,918 : x
  2. Step 2: Convert to fraction form
    50,274/69,378.14 = 27,918/x
  3. Step 3: Cross multiply
    50,274x = 69,378.14 × 27,918
  4. Step 4: Simplify right side
    50,274x = 1,936,898,912.52
  5. Step 5: Solve for x
    x = 1,936,898,912.52/50,274
  6. Step 6: Final answer
    x = 38,526.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.