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Finding the Fourth Proportional to 179,986, 248,380.68 and 100,498

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Solution

The fourth proportional to 179,986, 248,380.68 and 100,498 is: 138,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,986 : 248,380.68 = 100,498 : x
  2. Step 2: Convert to fraction form
    179,986/248,380.68 = 100,498/x
  3. Step 3: Cross multiply
    179,986x = 248,380.68 × 100,498
  4. Step 4: Simplify right side
    179,986x = 24,961,761,578.64
  5. Step 5: Solve for x
    x = 24,961,761,578.64/179,986
  6. Step 6: Final answer
    x = 138,687.24

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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.