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Finding the Fourth Proportional to 206,004.47, 309,121.52 and 111,232.64

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Solution

The fourth proportional to 206,004.47, 309,121.52 and 111,232.64 is: 166,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,004.47 : 309,121.52 = 111,232.64 : x
  2. Step 2: Convert to fraction form
    206,004.47/309,121.52 = 111,232.64/x
  3. Step 3: Cross multiply
    206,004.47x = 309,121.52 × 111,232.64
  4. Step 4: Simplify right side
    206,004.47x = 34,384,402,967.05
  5. Step 5: Solve for x
    x = 34,384,402,967.05/206,004.47
  6. Step 6: Final answer
    x = 166,910.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.