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Finding the Fourth Proportional to 91,601, 126,409.38 and 51,857

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Solution

The fourth proportional to 91,601, 126,409.38 and 51,857 is: 71,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,601 : 126,409.38 = 51,857 : x
  2. Step 2: Convert to fraction form
    91,601/126,409.38 = 51,857/x
  3. Step 3: Cross multiply
    91,601x = 126,409.38 × 51,857
  4. Step 4: Simplify right side
    91,601x = 6,555,211,218.66
  5. Step 5: Solve for x
    x = 6,555,211,218.66/91,601
  6. Step 6: Final answer
    x = 71,562.66

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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.