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Finding the Fourth Proportional to 100,202.78, 138,272.64 and 54,873.46

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Solution

The fourth proportional to 100,202.78, 138,272.64 and 54,873.46 is: 75,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.78 : 138,272.64 = 54,873.46 : x
  2. Step 2: Convert to fraction form
    100,202.78/138,272.64 = 54,873.46/x
  3. Step 3: Cross multiply
    100,202.78x = 138,272.64 × 54,873.46
  4. Step 4: Simplify right side
    100,202.78x = 7,587,498,180.13
  5. Step 5: Solve for x
    x = 7,587,498,180.13/100,202.78
  6. Step 6: Final answer
    x = 75,721.43

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1.5x scale

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.