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Finding the Fourth Proportional to 71,954.28, 107,869.86 and 27,612.86

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Solution

The fourth proportional to 71,954.28, 107,869.86 and 27,612.86 is: 41,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954.28 : 107,869.86 = 27,612.86 : x
  2. Step 2: Convert to fraction form
    71,954.28/107,869.86 = 27,612.86/x
  3. Step 3: Cross multiply
    71,954.28x = 107,869.86 × 27,612.86
  4. Step 4: Simplify right side
    71,954.28x = 2,978,594,803.05
  5. Step 5: Solve for x
    x = 2,978,594,803.05/71,954.28
  6. Step 6: Final answer
    x = 41,395.66

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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.