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Finding the Fourth Proportional to 206,810.62, 285,354.39 and 120,730.54

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Solution

The fourth proportional to 206,810.62, 285,354.39 and 120,730.54 is: 166,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,810.62 : 285,354.39 = 120,730.54 : x
  2. Step 2: Convert to fraction form
    206,810.62/285,354.39 = 120,730.54/x
  3. Step 3: Cross multiply
    206,810.62x = 285,354.39 × 120,730.54
  4. Step 4: Simplify right side
    206,810.62x = 34,450,987,565.65
  5. Step 5: Solve for x
    x = 34,450,987,565.65/206,810.62
  6. Step 6: Final answer
    x = 166,582.29

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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.