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Finding the Fourth Proportional to 91,538, 126,324.36 and 51,794

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Solution

The fourth proportional to 91,538, 126,324.36 and 51,794 is: 71,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,538 : 126,324.36 = 51,794 : x
  2. Step 2: Convert to fraction form
    91,538/126,324.36 = 51,794/x
  3. Step 3: Cross multiply
    91,538x = 126,324.36 × 51,794
  4. Step 4: Simplify right side
    91,538x = 6,542,843,901.84
  5. Step 5: Solve for x
    x = 6,542,843,901.84/91,538
  6. Step 6: Final answer
    x = 71,476.81

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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.