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Finding the Fourth Proportional to 200,698.28, 276,736.62 and 128,003.96

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Solution

The fourth proportional to 200,698.28, 276,736.62 and 128,003.96 is: 176,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,698.28 : 276,736.62 = 128,003.96 : x
  2. Step 2: Convert to fraction form
    200,698.28/276,736.62 = 128,003.96/x
  3. Step 3: Cross multiply
    200,698.28x = 276,736.62 × 128,003.96
  4. Step 4: Simplify right side
    200,698.28x = 35,423,383,237.02
  5. Step 5: Solve for x
    x = 35,423,383,237.02/200,698.28
  6. Step 6: Final answer
    x = 176,500.68

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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.