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Finding the Fourth Proportional to 123,787.20, 185,680.80 and 81,796.80

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Solution

The fourth proportional to 123,787.20, 185,680.80 and 81,796.80 is: 122,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,787.20 : 185,680.80 = 81,796.80 : x
  2. Step 2: Convert to fraction form
    123,787.20/185,680.80 = 81,796.80/x
  3. Step 3: Cross multiply
    123,787.20x = 185,680.80 × 81,796.80
  4. Step 4: Simplify right side
    123,787.20x = 15,188,095,261.44
  5. Step 5: Solve for x
    x = 15,188,095,261.44/123,787.20
  6. Step 6: Final answer
    x = 122,695.20

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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.