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Finding the Fourth Proportional to 206,766, 285,201 and 149,309.64

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Solution

The fourth proportional to 206,766, 285,201 and 149,309.64 is: 205,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,766 : 285,201 = 149,309.64 : x
  2. Step 2: Convert to fraction form
    206,766/285,201 = 149,309.64/x
  3. Step 3: Cross multiply
    206,766x = 285,201 × 149,309.64
  4. Step 4: Simplify right side
    206,766x = 42,583,258,637.64
  5. Step 5: Solve for x
    x = 42,583,258,637.64/206,766
  6. Step 6: Final answer
    x = 205,949.04

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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.