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Finding the Fourth Proportional to 185,241, 255,631 and 100,357.88

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Solution

The fourth proportional to 185,241, 255,631 and 100,357.88 is: 138,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,241 : 255,631 = 100,357.88 : x
  2. Step 2: Convert to fraction form
    185,241/255,631 = 100,357.88/x
  3. Step 3: Cross multiply
    185,241x = 255,631 × 100,357.88
  4. Step 4: Simplify right side
    185,241x = 25,654,585,222.28
  5. Step 5: Solve for x
    x = 25,654,585,222.28/185,241
  6. Step 6: Final answer
    x = 138,493.02

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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.