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Finding the Fourth Proportional to 81,802.20, 122,679.60 and 31,871.17

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Solution

The fourth proportional to 81,802.20, 122,679.60 and 31,871.17 is: 47,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,802.20 : 122,679.60 = 31,871.17 : x
  2. Step 2: Convert to fraction form
    81,802.20/122,679.60 = 31,871.17/x
  3. Step 3: Cross multiply
    81,802.20x = 122,679.60 × 31,871.17
  4. Step 4: Simplify right side
    81,802.20x = 3,909,942,420.96
  5. Step 5: Solve for x
    x = 3,909,942,420.96/81,802.20
  6. Step 6: Final answer
    x = 47,797.52

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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.