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Finding the Fourth Proportional to 50,706, 69,974.28 and 28,350

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Solution

The fourth proportional to 50,706, 69,974.28 and 28,350 is: 39,123

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,706 : 69,974.28 = 28,350 : x
  2. Step 2: Convert to fraction form
    50,706/69,974.28 = 28,350/x
  3. Step 3: Cross multiply
    50,706x = 69,974.28 × 28,350
  4. Step 4: Simplify right side
    50,706x = 1,983,770,838
  5. Step 5: Solve for x
    x = 1,983,770,838/50,706
  6. Step 6: Final answer
    x = 39,123

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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.