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Finding the Fourth Proportional to 263,071.01, 394,610.16 and 85,578.95

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Solution

The fourth proportional to 263,071.01, 394,610.16 and 85,578.95 is: 128,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,071.01 : 394,610.16 = 85,578.95 : x
  2. Step 2: Convert to fraction form
    263,071.01/394,610.16 = 85,578.95/x
  3. Step 3: Cross multiply
    263,071.01x = 394,610.16 × 85,578.95
  4. Step 4: Simplify right side
    263,071.01x = 33,770,323,152.13
  5. Step 5: Solve for x
    x = 33,770,323,152.13/263,071.01
  6. Step 6: Final answer
    x = 128,369.61

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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.