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Finding the Fourth Proportional to 76,105.12, 114,205.20 and 54,760

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Solution

The fourth proportional to 76,105.12, 114,205.20 and 54,760 is: 82,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,105.12 : 114,205.20 = 54,760 : x
  2. Step 2: Convert to fraction form
    76,105.12/114,205.20 = 54,760/x
  3. Step 3: Cross multiply
    76,105.12x = 114,205.20 × 54,760
  4. Step 4: Simplify right side
    76,105.12x = 6,253,876,752
  5. Step 5: Solve for x
    x = 6,253,876,752/76,105.12
  6. Step 6: Final answer
    x = 82,174.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.