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Finding the Fourth Proportional to 84,138.33, 115,874.66 and 82,301.25

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Solution

The fourth proportional to 84,138.33, 115,874.66 and 82,301.25 is: 113,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138.33 : 115,874.66 = 82,301.25 : x
  2. Step 2: Convert to fraction form
    84,138.33/115,874.66 = 82,301.25/x
  3. Step 3: Cross multiply
    84,138.33x = 115,874.66 × 82,301.25
  4. Step 4: Simplify right side
    84,138.33x = 9,536,628,781.95
  5. Step 5: Solve for x
    x = 9,536,628,781.95/84,138.33
  6. Step 6: Final answer
    x = 113,344.65

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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.