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Finding the Fourth Proportional to 82,218.56, 123,224 and 68,532.80

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Solution

The fourth proportional to 82,218.56, 123,224 and 68,532.80 is: 102,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,218.56 : 123,224 = 68,532.80 : x
  2. Step 2: Convert to fraction form
    82,218.56/123,224 = 68,532.80/x
  3. Step 3: Cross multiply
    82,218.56x = 123,224 × 68,532.80
  4. Step 4: Simplify right side
    82,218.56x = 8,444,885,747.20
  5. Step 5: Solve for x
    x = 8,444,885,747.20/82,218.56
  6. Step 6: Final answer
    x = 102,712.64

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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.