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Finding the Fourth Proportional to 70,873.28, 106,249.56 and 31,408.88

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Solution

The fourth proportional to 70,873.28, 106,249.56 and 31,408.88 is: 47,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,873.28 : 106,249.56 = 31,408.88 : x
  2. Step 2: Convert to fraction form
    70,873.28/106,249.56 = 31,408.88/x
  3. Step 3: Cross multiply
    70,873.28x = 106,249.56 × 31,408.88
  4. Step 4: Simplify right side
    70,873.28x = 3,337,179,680.09
  5. Step 5: Solve for x
    x = 3,337,179,680.09/70,873.28
  6. Step 6: Final answer
    x = 47,086.57

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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.