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Finding the Fourth Proportional to 81,372.96, 122,077.92 and 31,453.20

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Solution

The fourth proportional to 81,372.96, 122,077.92 and 31,453.20 is: 47,186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,372.96 : 122,077.92 = 31,453.20 : x
  2. Step 2: Convert to fraction form
    81,372.96/122,077.92 = 31,453.20/x
  3. Step 3: Cross multiply
    81,372.96x = 122,077.92 × 31,453.20
  4. Step 4: Simplify right side
    81,372.96x = 3,839,741,233.34
  5. Step 5: Solve for x
    x = 3,839,741,233.34/81,372.96
  6. Step 6: Final answer
    x = 47,186.94

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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.