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Finding the Fourth Proportional to 185,217, 255,601.24 and 100,335.90

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Solution

The fourth proportional to 185,217, 255,601.24 and 100,335.90 is: 138,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,217 : 255,601.24 = 100,335.90 : x
  2. Step 2: Convert to fraction form
    185,217/255,601.24 = 100,335.90/x
  3. Step 3: Cross multiply
    185,217x = 255,601.24 × 100,335.90
  4. Step 4: Simplify right side
    185,217x = 25,645,980,456.52
  5. Step 5: Solve for x
    x = 25,645,980,456.52/185,217
  6. Step 6: Final answer
    x = 138,464.51

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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.