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Finding the Fourth Proportional to 378,065.97, 567,098.94 and 111,805.74

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Solution

The fourth proportional to 378,065.97, 567,098.94 and 111,805.74 is: 167,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,065.97 : 567,098.94 = 111,805.74 : x
  2. Step 2: Convert to fraction form
    378,065.97/567,098.94 = 111,805.74/x
  3. Step 3: Cross multiply
    378,065.97x = 567,098.94 × 111,805.74
  4. Step 4: Simplify right side
    378,065.97x = 63,404,916,639.92
  5. Step 5: Solve for x
    x = 63,404,916,639.92/378,065.97
  6. Step 6: Final answer
    x = 167,708.61

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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.