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Finding the Fourth Proportional to 84,489.78, 116,591.27 and 48,185.90

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Solution

The fourth proportional to 84,489.78, 116,591.27 and 48,185.90 is: 66,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,489.78 : 116,591.27 = 48,185.90 : x
  2. Step 2: Convert to fraction form
    84,489.78/116,591.27 = 48,185.90/x
  3. Step 3: Cross multiply
    84,489.78x = 116,591.27 × 48,185.90
  4. Step 4: Simplify right side
    84,489.78x = 5,618,054,453.21
  5. Step 5: Solve for x
    x = 5,618,054,453.21/84,489.78
  6. Step 6: Final answer
    x = 66,493.89

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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.