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Finding the Fourth Proportional to 81,676.92, 122,457.78 and 31,715.40

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Solution

The fourth proportional to 81,676.92, 122,457.78 and 31,715.40 is: 47,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,676.92 : 122,457.78 = 31,715.40 : x
  2. Step 2: Convert to fraction form
    81,676.92/122,457.78 = 31,715.40/x
  3. Step 3: Cross multiply
    81,676.92x = 122,457.78 × 31,715.40
  4. Step 4: Simplify right side
    81,676.92x = 3,883,797,475.81
  5. Step 5: Solve for x
    x = 3,883,797,475.81/81,676.92
  6. Step 6: Final answer
    x = 47,550.73

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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.