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Finding the Fourth Proportional to 203,231.66, 280,506.33 and 135,251.49

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Solution

The fourth proportional to 203,231.66, 280,506.33 and 135,251.49 is: 186,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,231.66 : 280,506.33 = 135,251.49 : x
  2. Step 2: Convert to fraction form
    203,231.66/280,506.33 = 135,251.49/x
  3. Step 3: Cross multiply
    203,231.66x = 280,506.33 × 135,251.49
  4. Step 4: Simplify right side
    203,231.66x = 37,938,899,086.93
  5. Step 5: Solve for x
    x = 37,938,899,086.93/203,231.66
  6. Step 6: Final answer
    x = 186,678.10

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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.