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Finding the Fourth Proportional to 76,717, 115,076.94 and 21,314.44

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Solution

The fourth proportional to 76,717, 115,076.94 and 21,314.44 is: 31,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,717 : 115,076.94 = 21,314.44 : x
  2. Step 2: Convert to fraction form
    76,717/115,076.94 = 21,314.44/x
  3. Step 3: Cross multiply
    76,717x = 115,076.94 × 21,314.44
  4. Step 4: Simplify right side
    76,717x = 2,452,800,533.01
  5. Step 5: Solve for x
    x = 2,452,800,533.01/76,717
  6. Step 6: Final answer
    x = 31,972.06

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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.