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Finding the Fourth Proportional to 131,751.92, 181,816.57 and 71,321.33

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Solution

The fourth proportional to 131,751.92, 181,816.57 and 71,321.33 is: 98,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,751.92 : 181,816.57 = 71,321.33 : x
  2. Step 2: Convert to fraction form
    131,751.92/181,816.57 = 71,321.33/x
  3. Step 3: Cross multiply
    131,751.92x = 181,816.57 × 71,321.33
  4. Step 4: Simplify right side
    131,751.92x = 12,967,399,588.44
  5. Step 5: Solve for x
    x = 12,967,399,588.44/131,751.92
  6. Step 6: Final answer
    x = 98,422.85

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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.