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Finding the Fourth Proportional to 200,028.70, 276,035.43 and 109,383.64

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Solution

The fourth proportional to 200,028.70, 276,035.43 and 109,383.64 is: 150,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,028.70 : 276,035.43 = 109,383.64 : x
  2. Step 2: Convert to fraction form
    200,028.70/276,035.43 = 109,383.64/x
  3. Step 3: Cross multiply
    200,028.70x = 276,035.43 × 109,383.64
  4. Step 4: Simplify right side
    200,028.70x = 30,193,760,102.37
  5. Step 5: Solve for x
    x = 30,193,760,102.37/200,028.70
  6. Step 6: Final answer
    x = 150,947.14

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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.