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Finding the Fourth Proportional to 100,556.82, 138,764.61 and 55,847.70

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Solution

The fourth proportional to 100,556.82, 138,764.61 and 55,847.70 is: 77,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,556.82 : 138,764.61 = 55,847.70 : x
  2. Step 2: Convert to fraction form
    100,556.82/138,764.61 = 55,847.70/x
  3. Step 3: Cross multiply
    100,556.82x = 138,764.61 × 55,847.70
  4. Step 4: Simplify right side
    100,556.82x = 7,749,684,309.90
  5. Step 5: Solve for x
    x = 7,749,684,309.90/100,556.82
  6. Step 6: Final answer
    x = 77,067.71

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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.