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Finding the Fourth Proportional to 76,371.76, 114,535.50 and 31,997.26

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Solution

The fourth proportional to 76,371.76, 114,535.50 and 31,997.26 is: 47,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,371.76 : 114,535.50 = 31,997.26 : x
  2. Step 2: Convert to fraction form
    76,371.76/114,535.50 = 31,997.26/x
  3. Step 3: Cross multiply
    76,371.76x = 114,535.50 × 31,997.26
  4. Step 4: Simplify right side
    76,371.76x = 3,664,822,172.73
  5. Step 5: Solve for x
    x = 3,664,822,172.73/76,371.76
  6. Step 6: Final answer
    x = 47,986.61

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