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Finding the Fourth Proportional to 185,135.26, 255,486.78 and 100,252.38

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Solution

The fourth proportional to 185,135.26, 255,486.78 and 100,252.38 is: 138,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,135.26 : 255,486.78 = 100,252.38 : x
  2. Step 2: Convert to fraction form
    185,135.26/255,486.78 = 100,252.38/x
  3. Step 3: Cross multiply
    185,135.26x = 255,486.78 × 100,252.38
  4. Step 4: Simplify right side
    185,135.26x = 25,613,157,753.54
  5. Step 5: Solve for x
    x = 25,613,157,753.54/185,135.26
  6. Step 6: Final answer
    x = 138,348.35

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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.