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Finding the Fourth Proportional to 81,996.48, 113,149.44 and 48,456

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Solution

The fourth proportional to 81,996.48, 113,149.44 and 48,456 is: 66,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,996.48 : 113,149.44 = 48,456 : x
  2. Step 2: Convert to fraction form
    81,996.48/113,149.44 = 48,456/x
  3. Step 3: Cross multiply
    81,996.48x = 113,149.44 × 48,456
  4. Step 4: Simplify right side
    81,996.48x = 5,482,769,264.64
  5. Step 5: Solve for x
    x = 5,482,769,264.64/81,996.48
  6. Step 6: Final answer
    x = 66,865.91

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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.