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Finding the Fourth Proportional to 84,205.98, 116,200.17 and 48,387.78

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Solution

The fourth proportional to 84,205.98, 116,200.17 and 48,387.78 is: 66,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,205.98 : 116,200.17 = 48,387.78 : x
  2. Step 2: Convert to fraction form
    84,205.98/116,200.17 = 48,387.78/x
  3. Step 3: Cross multiply
    84,205.98x = 116,200.17 × 48,387.78
  4. Step 4: Simplify right side
    84,205.98x = 5,622,668,261.92
  5. Step 5: Solve for x
    x = 5,622,668,261.92/84,205.98
  6. Step 6: Final answer
    x = 66,772.79

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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.