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Finding the Fourth Proportional to 206,309.55, 284,706.93 and 115,665.54

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Solution

The fourth proportional to 206,309.55, 284,706.93 and 115,665.54 is: 159,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,309.55 : 284,706.93 = 115,665.54 : x
  2. Step 2: Convert to fraction form
    206,309.55/284,706.93 = 115,665.54/x
  3. Step 3: Cross multiply
    206,309.55x = 284,706.93 × 115,665.54
  4. Step 4: Simplify right side
    206,309.55x = 32,930,780,800.19
  5. Step 5: Solve for x
    x = 32,930,780,800.19/206,309.55
  6. Step 6: Final answer
    x = 159,618.31

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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.