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Finding the Fourth Proportional to 76,753.62, 115,163.82 and 26,869.50

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Solution

The fourth proportional to 76,753.62, 115,163.82 and 26,869.50 is: 40,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,753.62 : 115,163.82 = 26,869.50 : x
  2. Step 2: Convert to fraction form
    76,753.62/115,163.82 = 26,869.50/x
  3. Step 3: Cross multiply
    76,753.62x = 115,163.82 × 26,869.50
  4. Step 4: Simplify right side
    76,753.62x = 3,094,394,261.49
  5. Step 5: Solve for x
    x = 3,094,394,261.49/76,753.62
  6. Step 6: Final answer
    x = 40,315.94

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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.