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Finding the Fourth Proportional to 81,662.92, 122,436.70 and 31,701.48

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Solution

The fourth proportional to 81,662.92, 122,436.70 and 31,701.48 is: 47,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,662.92 : 122,436.70 = 31,701.48 : x
  2. Step 2: Convert to fraction form
    81,662.92/122,436.70 = 31,701.48/x
  3. Step 3: Cross multiply
    81,662.92x = 122,436.70 × 31,701.48
  4. Step 4: Simplify right side
    81,662.92x = 3,881,424,596.32
  5. Step 5: Solve for x
    x = 3,881,424,596.32/81,662.92
  6. Step 6: Final answer
    x = 47,529.83

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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.