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Finding the Fourth Proportional to 87,215.96, 120,361.74 and 49,493.72

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Solution

The fourth proportional to 87,215.96, 120,361.74 and 49,493.72 is: 68,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,215.96 : 120,361.74 = 49,493.72 : x
  2. Step 2: Convert to fraction form
    87,215.96/120,361.74 = 49,493.72/x
  3. Step 3: Cross multiply
    87,215.96x = 120,361.74 × 49,493.72
  4. Step 4: Simplify right side
    87,215.96x = 5,957,150,258.27
  5. Step 5: Solve for x
    x = 5,957,150,258.27/87,215.96
  6. Step 6: Final answer
    x = 68,303.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.