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Finding the Fourth Proportional to 84,169.26, 116,164.84 and 81,399.98

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Solution

The fourth proportional to 84,169.26, 116,164.84 and 81,399.98 is: 112,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,169.26 : 116,164.84 = 81,399.98 : x
  2. Step 2: Convert to fraction form
    84,169.26/116,164.84 = 81,399.98/x
  3. Step 3: Cross multiply
    84,169.26x = 116,164.84 × 81,399.98
  4. Step 4: Simplify right side
    84,169.26x = 9,455,815,652.70
  5. Step 5: Solve for x
    x = 9,455,815,652.70/84,169.26
  6. Step 6: Final answer
    x = 112,342.86

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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.