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Finding the Fourth Proportional to 252,735.41, 378,976.34 and 84,196.49

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Solution

The fourth proportional to 252,735.41, 378,976.34 and 84,196.49 is: 126,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,735.41 : 378,976.34 = 84,196.49 : x
  2. Step 2: Convert to fraction form
    252,735.41/378,976.34 = 84,196.49/x
  3. Step 3: Cross multiply
    252,735.41x = 378,976.34 × 84,196.49
  4. Step 4: Simplify right side
    252,735.41x = 31,908,475,305.18
  5. Step 5: Solve for x
    x = 31,908,475,305.18/252,735.41
  6. Step 6: Final answer
    x = 126,252.49

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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.