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Finding the Fourth Proportional to 50,137.52, 69,190 and 27,781.52

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Solution

The fourth proportional to 50,137.52, 69,190 and 27,781.52 is: 38,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,137.52 : 69,190 = 27,781.52 : x
  2. Step 2: Convert to fraction form
    50,137.52/69,190 = 27,781.52/x
  3. Step 3: Cross multiply
    50,137.52x = 69,190 × 27,781.52
  4. Step 4: Simplify right side
    50,137.52x = 1,922,203,368.80
  5. Step 5: Solve for x
    x = 1,922,203,368.80/50,137.52
  6. Step 6: Final answer
    x = 38,338.62

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1.5x scale

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.