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Finding the Fourth Proportional to 105,843.78, 158,721.87 and 45,028.26

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Solution

The fourth proportional to 105,843.78, 158,721.87 and 45,028.26 is: 67,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,843.78 : 158,721.87 = 45,028.26 : x
  2. Step 2: Convert to fraction form
    105,843.78/158,721.87 = 45,028.26/x
  3. Step 3: Cross multiply
    105,843.78x = 158,721.87 × 45,028.26
  4. Step 4: Simplify right side
    105,843.78x = 7,146,969,630.05
  5. Step 5: Solve for x
    x = 7,146,969,630.05/105,843.78
  6. Step 6: Final answer
    x = 67,523.76

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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.