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Finding the Fourth Proportional to 206,634.49, 285,082.22 and 135,055.80

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Solution

The fourth proportional to 206,634.49, 285,082.22 and 135,055.80 is: 186,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,634.49 : 285,082.22 = 135,055.80 : x
  2. Step 2: Convert to fraction form
    206,634.49/285,082.22 = 135,055.80/x
  3. Step 3: Cross multiply
    206,634.49x = 285,082.22 × 135,055.80
  4. Step 4: Simplify right side
    206,634.49x = 38,502,007,625.52
  5. Step 5: Solve for x
    x = 38,502,007,625.52/206,634.49
  6. Step 6: Final answer
    x = 186,329.05

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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.