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Finding the Fourth Proportional to 200,082.70, 276,137.94 and 115,216.30

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Solution

The fourth proportional to 200,082.70, 276,137.94 and 115,216.30 is: 159,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,082.70 : 276,137.94 = 115,216.30 : x
  2. Step 2: Convert to fraction form
    200,082.70/276,137.94 = 115,216.30/x
  3. Step 3: Cross multiply
    200,082.70x = 276,137.94 × 115,216.30
  4. Step 4: Simplify right side
    200,082.70x = 31,815,591,736.42
  5. Step 5: Solve for x
    x = 31,815,591,736.42/200,082.70
  6. Step 6: Final answer
    x = 159,012.21

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1.5x scale

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.