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Finding the Fourth Proportional to 81,094.34, 111,910.74 and 45,284.78

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Solution

The fourth proportional to 81,094.34, 111,910.74 and 45,284.78 is: 62,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,094.34 : 111,910.74 = 45,284.78 : x
  2. Step 2: Convert to fraction form
    81,094.34/111,910.74 = 45,284.78/x
  3. Step 3: Cross multiply
    81,094.34x = 111,910.74 × 45,284.78
  4. Step 4: Simplify right side
    81,094.34x = 5,067,853,240.54
  5. Step 5: Solve for x
    x = 5,067,853,240.54/81,094.34
  6. Step 6: Final answer
    x = 62,493.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.