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Finding the Fourth Proportional to 80,796.40, 111,512.64 and 52,108

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Solution

The fourth proportional to 80,796.40, 111,512.64 and 52,108 is: 71,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,796.40 : 111,512.64 = 52,108 : x
  2. Step 2: Convert to fraction form
    80,796.40/111,512.64 = 52,108/x
  3. Step 3: Cross multiply
    80,796.40x = 111,512.64 × 52,108
  4. Step 4: Simplify right side
    80,796.40x = 5,810,700,645.12
  5. Step 5: Solve for x
    x = 5,810,700,645.12/80,796.40
  6. Step 6: Final answer
    x = 71,917.82

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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.