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Finding the Fourth Proportional to 84,396, 126,575.17 and 25,223.98

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Solution

The fourth proportional to 84,396, 126,575.17 and 25,223.98 is: 37,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,396 : 126,575.17 = 25,223.98 : x
  2. Step 2: Convert to fraction form
    84,396/126,575.17 = 25,223.98/x
  3. Step 3: Cross multiply
    84,396x = 126,575.17 × 25,223.98
  4. Step 4: Simplify right side
    84,396x = 3,192,729,556.58
  5. Step 5: Solve for x
    x = 3,192,729,556.58/84,396
  6. Step 6: Final answer
    x = 37,830.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.