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Finding the Fourth Proportional to 188,162.64, 259,654.97 and 111,685.08

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Solution

The fourth proportional to 188,162.64, 259,654.97 and 111,685.08 is: 154,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,162.64 : 259,654.97 = 111,685.08 : x
  2. Step 2: Convert to fraction form
    188,162.64/259,654.97 = 111,685.08/x
  3. Step 3: Cross multiply
    188,162.64x = 259,654.97 × 111,685.08
  4. Step 4: Simplify right side
    188,162.64x = 28,999,584,240.15
  5. Step 5: Solve for x
    x = 28,999,584,240.15/188,162.64
  6. Step 6: Final answer
    x = 154,119.78

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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.