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Finding the Fourth Proportional to 50,306, 69,422.55 and 27,950

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Solution

The fourth proportional to 50,306, 69,422.55 and 27,950 is: 38,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,306 : 69,422.55 = 27,950 : x
  2. Step 2: Convert to fraction form
    50,306/69,422.55 = 27,950/x
  3. Step 3: Cross multiply
    50,306x = 69,422.55 × 27,950
  4. Step 4: Simplify right side
    50,306x = 1,940,360,272.50
  5. Step 5: Solve for x
    x = 1,940,360,272.50/50,306
  6. Step 6: Final answer
    x = 38,571.15

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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.