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Finding the Fourth Proportional to 111,991.44, 167,987.52 and 76,824.48

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Solution

The fourth proportional to 111,991.44, 167,987.52 and 76,824.48 is: 115,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,991.44 : 167,987.52 = 76,824.48 : x
  2. Step 2: Convert to fraction form
    111,991.44/167,987.52 = 76,824.48/x
  3. Step 3: Cross multiply
    111,991.44x = 167,987.52 × 76,824.48
  4. Step 4: Simplify right side
    111,991.44x = 12,905,553,870.49
  5. Step 5: Solve for x
    x = 12,905,553,870.49/111,991.44
  6. Step 6: Final answer
    x = 115,236.97

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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.