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Finding the Fourth Proportional to 188,299.97, 259,854.10 and 102,257.31

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Solution

The fourth proportional to 188,299.97, 259,854.10 and 102,257.31 is: 141,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,299.97 : 259,854.10 = 102,257.31 : x
  2. Step 2: Convert to fraction form
    188,299.97/259,854.10 = 102,257.31/x
  3. Step 3: Cross multiply
    188,299.97x = 259,854.10 × 102,257.31
  4. Step 4: Simplify right side
    188,299.97x = 26,571,981,002.83
  5. Step 5: Solve for x
    x = 26,571,981,002.83/188,299.97
  6. Step 6: Final answer
    x = 141,115.17

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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.