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Finding the Fourth Proportional to 82,659, 123,988.56 and 27,255

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Solution

The fourth proportional to 82,659, 123,988.56 and 27,255 is: 40,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,659 : 123,988.56 = 27,255 : x
  2. Step 2: Convert to fraction form
    82,659/123,988.56 = 27,255/x
  3. Step 3: Cross multiply
    82,659x = 123,988.56 × 27,255
  4. Step 4: Simplify right side
    82,659x = 3,379,308,202.80
  5. Step 5: Solve for x
    x = 3,379,308,202.80/82,659
  6. Step 6: Final answer
    x = 40,882.52

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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.