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Finding the Fourth Proportional to 81,673.92, 122,453.28 and 31,712.40

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Solution

The fourth proportional to 81,673.92, 122,453.28 and 31,712.40 is: 47,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,673.92 : 122,453.28 = 31,712.40 : x
  2. Step 2: Convert to fraction form
    81,673.92/122,453.28 = 31,712.40/x
  3. Step 3: Cross multiply
    81,673.92x = 122,453.28 × 31,712.40
  4. Step 4: Simplify right side
    81,673.92x = 3,883,287,396.67
  5. Step 5: Solve for x
    x = 3,883,287,396.67/81,673.92
  6. Step 6: Final answer
    x = 47,546.24

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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.