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Finding the Fourth Proportional to 84,131.44, 126,169.85 and 27,956.47

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Solution

The fourth proportional to 84,131.44, 126,169.85 and 27,956.47 is: 41,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,131.44 : 126,169.85 = 27,956.47 : x
  2. Step 2: Convert to fraction form
    84,131.44/126,169.85 = 27,956.47/x
  3. Step 3: Cross multiply
    84,131.44x = 126,169.85 × 27,956.47
  4. Step 4: Simplify right side
    84,131.44x = 3,527,263,626.43
  5. Step 5: Solve for x
    x = 3,527,263,626.43/84,131.44
  6. Step 6: Final answer
    x = 41,925.63

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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.