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Finding the Fourth Proportional to 90,643.20, 135,964.80 and 82,186.80

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Solution

The fourth proportional to 90,643.20, 135,964.80 and 82,186.80 is: 123,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,643.20 : 135,964.80 = 82,186.80 : x
  2. Step 2: Convert to fraction form
    90,643.20/135,964.80 = 82,186.80/x
  3. Step 3: Cross multiply
    90,643.20x = 135,964.80 × 82,186.80
  4. Step 4: Simplify right side
    90,643.20x = 11,174,511,824.64
  5. Step 5: Solve for x
    x = 11,174,511,824.64/90,643.20
  6. Step 6: Final answer
    x = 123,280.20

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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.