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Finding the Fourth Proportional to 199,819.99, 275,748.33 and 109,174

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Solution

The fourth proportional to 199,819.99, 275,748.33 and 109,174 is: 150,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,819.99 : 275,748.33 = 109,174 : x
  2. Step 2: Convert to fraction form
    199,819.99/275,748.33 = 109,174/x
  3. Step 3: Cross multiply
    199,819.99x = 275,748.33 × 109,174
  4. Step 4: Simplify right side
    199,819.99x = 30,104,548,179.42
  5. Step 5: Solve for x
    x = 30,104,548,179.42/199,819.99
  6. Step 6: Final answer
    x = 150,658.34

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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.