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Finding the Fourth Proportional to 140,456.33, 193,782.26 and 79,984.09

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Solution

The fourth proportional to 140,456.33, 193,782.26 and 79,984.09 is: 110,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,456.33 : 193,782.26 = 79,984.09 : x
  2. Step 2: Convert to fraction form
    140,456.33/193,782.26 = 79,984.09/x
  3. Step 3: Cross multiply
    140,456.33x = 193,782.26 × 79,984.09
  4. Step 4: Simplify right side
    140,456.33x = 15,499,497,716.52
  5. Step 5: Solve for x
    x = 15,499,497,716.52/140,456.33
  6. Step 6: Final answer
    x = 110,351.01

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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.