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Finding the Fourth Proportional to 203,581.81, 280,758.85 and 127,107.82

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Solution

The fourth proportional to 203,581.81, 280,758.85 and 127,107.82 is: 175,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,581.81 : 280,758.85 = 127,107.82 : x
  2. Step 2: Convert to fraction form
    203,581.81/280,758.85 = 127,107.82/x
  3. Step 3: Cross multiply
    203,581.81x = 280,758.85 × 127,107.82
  4. Step 4: Simplify right side
    203,581.81x = 35,686,645,369.21
  5. Step 5: Solve for x
    x = 35,686,645,369.21/203,581.81
  6. Step 6: Final answer
    x = 175,293.88

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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.