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Finding the Fourth Proportional to 100,393.90, 138,542.60 and 55,069.74

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Solution

The fourth proportional to 100,393.90, 138,542.60 and 55,069.74 is: 75,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,393.90 : 138,542.60 = 55,069.74 : x
  2. Step 2: Convert to fraction form
    100,393.90/138,542.60 = 55,069.74/x
  3. Step 3: Cross multiply
    100,393.90x = 138,542.60 × 55,069.74
  4. Step 4: Simplify right side
    100,393.90x = 7,629,505,098.60
  5. Step 5: Solve for x
    x = 7,629,505,098.60/100,393.90
  6. Step 6: Final answer
    x = 75,995.71

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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.