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Finding the Fourth Proportional to 84,758.13, 116,982.36 and 56,078.37

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Solution

The fourth proportional to 84,758.13, 116,982.36 and 56,078.37 is: 77,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,758.13 : 116,982.36 = 56,078.37 : x
  2. Step 2: Convert to fraction form
    84,758.13/116,982.36 = 56,078.37/x
  3. Step 3: Cross multiply
    84,758.13x = 116,982.36 × 56,078.37
  4. Step 4: Simplify right side
    84,758.13x = 6,560,180,067.55
  5. Step 5: Solve for x
    x = 6,560,180,067.55/84,758.13
  6. Step 6: Final answer
    x = 77,398.83

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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.