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Finding the Fourth Proportional to 81,762.76, 122,620.44 and 31,831.73

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Solution

The fourth proportional to 81,762.76, 122,620.44 and 31,831.73 is: 47,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762.76 : 122,620.44 = 31,831.73 : x
  2. Step 2: Convert to fraction form
    81,762.76/122,620.44 = 31,831.73/x
  3. Step 3: Cross multiply
    81,762.76x = 122,620.44 × 31,831.73
  4. Step 4: Simplify right side
    81,762.76x = 3,903,220,244.83
  5. Step 5: Solve for x
    x = 3,903,220,244.83/81,762.76
  6. Step 6: Final answer
    x = 47,738.36

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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.