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Finding the Fourth Proportional to 200,665, 276,960.90 and 120,110.50

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Solution

The fourth proportional to 200,665, 276,960.90 and 120,110.50 is: 165,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,665 : 276,960.90 = 120,110.50 : x
  2. Step 2: Convert to fraction form
    200,665/276,960.90 = 120,110.50/x
  3. Step 3: Cross multiply
    200,665x = 276,960.90 × 120,110.50
  4. Step 4: Simplify right side
    200,665x = 33,265,912,179.45
  5. Step 5: Solve for x
    x = 33,265,912,179.45/200,665
  6. Step 6: Final answer
    x = 165,778.35

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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.