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Finding the Fourth Proportional to 188,342, 259,935 and 108,854

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Solution

The fourth proportional to 188,342, 259,935 and 108,854 is: 150,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,342 : 259,935 = 108,854 : x
  2. Step 2: Convert to fraction form
    188,342/259,935 = 108,854/x
  3. Step 3: Cross multiply
    188,342x = 259,935 × 108,854
  4. Step 4: Simplify right side
    188,342x = 28,294,964,490
  5. Step 5: Solve for x
    x = 28,294,964,490/188,342
  6. Step 6: Final answer
    x = 150,231.84

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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.