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Finding the Fourth Proportional to 185,101.60, 255,439.88 and 100,218.64

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Solution

The fourth proportional to 185,101.60, 255,439.88 and 100,218.64 is: 138,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,101.60 : 255,439.88 = 100,218.64 : x
  2. Step 2: Convert to fraction form
    185,101.60/255,439.88 = 100,218.64/x
  3. Step 3: Cross multiply
    185,101.60x = 255,439.88 × 100,218.64
  4. Step 4: Simplify right side
    185,101.60x = 25,599,837,375.36
  5. Step 5: Solve for x
    x = 25,599,837,375.36/185,101.60
  6. Step 6: Final answer
    x = 138,301.55

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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.