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Finding the Fourth Proportional to 85,456.44, 128,212.02 and 41,086.44

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Solution

The fourth proportional to 85,456.44, 128,212.02 and 41,086.44 is: 61,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,456.44 : 128,212.02 = 41,086.44 : x
  2. Step 2: Convert to fraction form
    85,456.44/128,212.02 = 41,086.44/x
  3. Step 3: Cross multiply
    85,456.44x = 128,212.02 × 41,086.44
  4. Step 4: Simplify right side
    85,456.44x = 5,267,775,467.01
  5. Step 5: Solve for x
    x = 5,267,775,467.01/85,456.44
  6. Step 6: Final answer
    x = 61,642.81

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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.