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Finding the Fourth Proportional to 188,046.39, 259,542.21 and 127,636.50

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Solution

The fourth proportional to 188,046.39, 259,542.21 and 127,636.50 is: 176,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,046.39 : 259,542.21 = 127,636.50 : x
  2. Step 2: Convert to fraction form
    188,046.39/259,542.21 = 127,636.50/x
  3. Step 3: Cross multiply
    188,046.39x = 259,542.21 × 127,636.50
  4. Step 4: Simplify right side
    188,046.39x = 33,127,059,286.67
  5. Step 5: Solve for x
    x = 33,127,059,286.67/188,046.39
  6. Step 6: Final answer
    x = 176,164.29

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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.