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Finding the Fourth Proportional to 81,957.60, 122,965.44 and 26,553.60

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Solution

The fourth proportional to 81,957.60, 122,965.44 and 26,553.60 is: 39,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,957.60 : 122,965.44 = 26,553.60 : x
  2. Step 2: Convert to fraction form
    81,957.60/122,965.44 = 26,553.60/x
  3. Step 3: Cross multiply
    81,957.60x = 122,965.44 × 26,553.60
  4. Step 4: Simplify right side
    81,957.60x = 3,265,175,107.58
  5. Step 5: Solve for x
    x = 3,265,175,107.58/81,957.60
  6. Step 6: Final answer
    x = 39,839.81

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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.