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Finding the Fourth Proportional to 81,640.64, 122,468.72 and 31,724.60

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Solution

The fourth proportional to 81,640.64, 122,468.72 and 31,724.60 is: 47,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,640.64 : 122,468.72 = 31,724.60 : x
  2. Step 2: Convert to fraction form
    81,640.64/122,468.72 = 31,724.60/x
  3. Step 3: Cross multiply
    81,640.64x = 122,468.72 × 31,724.60
  4. Step 4: Simplify right side
    81,640.64x = 3,885,270,383.55
  5. Step 5: Solve for x
    x = 3,885,270,383.55/81,640.64
  6. Step 6: Final answer
    x = 47,589.90

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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.