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Finding the Fourth Proportional to 100,078, 138,112 and 55,366

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Solution

The fourth proportional to 100,078, 138,112 and 55,366 is: 76,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,078 : 138,112 = 55,366 : x
  2. Step 2: Convert to fraction form
    100,078/138,112 = 55,366/x
  3. Step 3: Cross multiply
    100,078x = 138,112 × 55,366
  4. Step 4: Simplify right side
    100,078x = 7,646,708,992
  5. Step 5: Solve for x
    x = 7,646,708,992/100,078
  6. Step 6: Final answer
    x = 76,407.49

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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.