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Finding the Fourth Proportional to 71,647, 107,470.50 and 27,871

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Solution

The fourth proportional to 71,647, 107,470.50 and 27,871 is: 41,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,647 : 107,470.50 = 27,871 : x
  2. Step 2: Convert to fraction form
    71,647/107,470.50 = 27,871/x
  3. Step 3: Cross multiply
    71,647x = 107,470.50 × 27,871
  4. Step 4: Simplify right side
    71,647x = 2,995,310,305.50
  5. Step 5: Solve for x
    x = 2,995,310,305.50/71,647
  6. Step 6: Final answer
    x = 41,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.