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Finding the Fourth Proportional to 169,098.84, 253,650.42 and 80,361

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Solution

The fourth proportional to 169,098.84, 253,650.42 and 80,361 is: 120,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,098.84 : 253,650.42 = 80,361 : x
  2. Step 2: Convert to fraction form
    169,098.84/253,650.42 = 80,361/x
  3. Step 3: Cross multiply
    169,098.84x = 253,650.42 × 80,361
  4. Step 4: Simplify right side
    169,098.84x = 20,383,601,401.62
  5. Step 5: Solve for x
    x = 20,383,601,401.62/169,098.84
  6. Step 6: Final answer
    x = 120,542.53

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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.