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Finding the Fourth Proportional to 76,777.72, 115,163.82 and 26,857.72

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Solution

The fourth proportional to 76,777.72, 115,163.82 and 26,857.72 is: 40,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,777.72 : 115,163.82 = 26,857.72 : x
  2. Step 2: Convert to fraction form
    76,777.72/115,163.82 = 26,857.72/x
  3. Step 3: Cross multiply
    76,777.72x = 115,163.82 × 26,857.72
  4. Step 4: Simplify right side
    76,777.72x = 3,093,037,631.69
  5. Step 5: Solve for x
    x = 3,093,037,631.69/76,777.72
  6. Step 6: Final answer
    x = 40,285.61

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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.