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Finding the Fourth Proportional to 100,546.52, 138,755.87 and 55,228.69

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Solution

The fourth proportional to 100,546.52, 138,755.87 and 55,228.69 is: 76,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,546.52 : 138,755.87 = 55,228.69 : x
  2. Step 2: Convert to fraction form
    100,546.52/138,755.87 = 55,228.69/x
  3. Step 3: Cross multiply
    100,546.52x = 138,755.87 × 55,228.69
  4. Step 4: Simplify right side
    100,546.52x = 7,663,305,034.32
  5. Step 5: Solve for x
    x = 7,663,305,034.32/100,546.52
  6. Step 6: Final answer
    x = 76,216.52

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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.