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Finding the Fourth Proportional to 81,713.92, 122,457.48 and 37,231.96

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Solution

The fourth proportional to 81,713.92, 122,457.48 and 37,231.96 is: 55,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,713.92 : 122,457.48 = 37,231.96 : x
  2. Step 2: Convert to fraction form
    81,713.92/122,457.48 = 37,231.96/x
  3. Step 3: Cross multiply
    81,713.92x = 122,457.48 × 37,231.96
  4. Step 4: Simplify right side
    81,713.92x = 4,559,331,997.06
  5. Step 5: Solve for x
    x = 4,559,331,997.06/81,713.92
  6. Step 6: Final answer
    x = 55,796.27

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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.