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Finding the Fourth Proportional to 81,793.37, 122,639.81 and 31,815.23

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Solution

The fourth proportional to 81,793.37, 122,639.81 and 31,815.23 is: 47,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,793.37 : 122,639.81 = 31,815.23 : x
  2. Step 2: Convert to fraction form
    81,793.37/122,639.81 = 31,815.23/x
  3. Step 3: Cross multiply
    81,793.37x = 122,639.81 × 31,815.23
  4. Step 4: Simplify right side
    81,793.37x = 3,901,812,990.03
  5. Step 5: Solve for x
    x = 3,901,812,990.03/81,793.37
  6. Step 6: Final answer
    x = 47,703.29

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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.