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Finding the Fourth Proportional to 182,081, 251,286.76 and 100,425.24

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Solution

The fourth proportional to 182,081, 251,286.76 and 100,425.24 is: 138,595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,081 : 251,286.76 = 100,425.24 : x
  2. Step 2: Convert to fraction form
    182,081/251,286.76 = 100,425.24/x
  3. Step 3: Cross multiply
    182,081x = 251,286.76 × 100,425.24
  4. Step 4: Simplify right side
    182,081x = 25,235,533,181.82
  5. Step 5: Solve for x
    x = 25,235,533,181.82/182,081
  6. Step 6: Final answer
    x = 138,595.09

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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.