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Finding the Fourth Proportional to 50,667, 69,920.46 and 28,311

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Solution

The fourth proportional to 50,667, 69,920.46 and 28,311 is: 39,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,667 : 69,920.46 = 28,311 : x
  2. Step 2: Convert to fraction form
    50,667/69,920.46 = 28,311/x
  3. Step 3: Cross multiply
    50,667x = 69,920.46 × 28,311
  4. Step 4: Simplify right side
    50,667x = 1,979,518,143.06
  5. Step 5: Solve for x
    x = 1,979,518,143.06/50,667
  6. Step 6: Final answer
    x = 39,069.18

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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.