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Finding the Fourth Proportional to 206,654.84, 285,110.32 and 135,076.20

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Solution

The fourth proportional to 206,654.84, 285,110.32 and 135,076.20 is: 186,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,654.84 : 285,110.32 = 135,076.20 : x
  2. Step 2: Convert to fraction form
    206,654.84/285,110.32 = 135,076.20/x
  3. Step 3: Cross multiply
    206,654.84x = 285,110.32 × 135,076.20
  4. Step 4: Simplify right side
    206,654.84x = 38,511,618,606.38
  5. Step 5: Solve for x
    x = 38,511,618,606.38/206,654.84
  6. Step 6: Final answer
    x = 186,357.21

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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.