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Finding the Fourth Proportional to 84,170.28, 126,267.42 and 27,991.88

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Solution

The fourth proportional to 84,170.28, 126,267.42 and 27,991.88 is: 41,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170.28 : 126,267.42 = 27,991.88 : x
  2. Step 2: Convert to fraction form
    84,170.28/126,267.42 = 27,991.88/x
  3. Step 3: Cross multiply
    84,170.28x = 126,267.42 × 27,991.88
  4. Step 4: Simplify right side
    84,170.28x = 3,534,462,468.55
  5. Step 5: Solve for x
    x = 3,534,462,468.55/84,170.28
  6. Step 6: Final answer
    x = 41,991.81

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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.