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Finding the Fourth Proportional to 206,812.62, 285,357.15 and 120,732.54

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Solution

The fourth proportional to 206,812.62, 285,357.15 and 120,732.54 is: 166,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.62 : 285,357.15 = 120,732.54 : x
  2. Step 2: Convert to fraction form
    206,812.62/285,357.15 = 120,732.54/x
  3. Step 3: Cross multiply
    206,812.62x = 285,357.15 × 120,732.54
  4. Step 4: Simplify right side
    206,812.62x = 34,451,893,526.66
  5. Step 5: Solve for x
    x = 34,451,893,526.66/206,812.62
  6. Step 6: Final answer
    x = 166,585.06

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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.