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Finding the Fourth Proportional to 200,679.96, 276,946.84 and 120,091.90

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Solution

The fourth proportional to 200,679.96, 276,946.84 and 120,091.90 is: 165,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,679.96 : 276,946.84 = 120,091.90 : x
  2. Step 2: Convert to fraction form
    200,679.96/276,946.84 = 120,091.90/x
  3. Step 3: Cross multiply
    200,679.96x = 276,946.84 × 120,091.90
  4. Step 4: Simplify right side
    200,679.96x = 33,259,072,214.60
  5. Step 5: Solve for x
    x = 33,259,072,214.60/200,679.96
  6. Step 6: Final answer
    x = 165,731.91

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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.