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Finding the Fourth Proportional to 206,670.25, 309,716.56 and 111,695.68

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Solution

The fourth proportional to 206,670.25, 309,716.56 and 111,695.68 is: 167,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,670.25 : 309,716.56 = 111,695.68 : x
  2. Step 2: Convert to fraction form
    206,670.25/309,716.56 = 111,695.68/x
  3. Step 3: Cross multiply
    206,670.25x = 309,716.56 × 111,695.68
  4. Step 4: Simplify right side
    206,670.25x = 34,594,001,776.46
  5. Step 5: Solve for x
    x = 34,594,001,776.46/206,670.25
  6. Step 6: Final answer
    x = 167,387.43

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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.