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Finding the Fourth Proportional to 200,664, 276,959.52 and 120,109.50

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Solution

The fourth proportional to 200,664, 276,959.52 and 120,109.50 is: 165,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,664 : 276,959.52 = 120,109.50 : x
  2. Step 2: Convert to fraction form
    200,664/276,959.52 = 120,109.50/x
  3. Step 3: Cross multiply
    200,664x = 276,959.52 × 120,109.50
  4. Step 4: Simplify right side
    200,664x = 33,265,469,467.44
  5. Step 5: Solve for x
    x = 33,265,469,467.44/200,664
  6. Step 6: Final answer
    x = 165,776.97

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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.