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Finding the Fourth Proportional to 138,987.84, 208,449.84 and 82,843.84

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Solution

The fourth proportional to 138,987.84, 208,449.84 and 82,843.84 is: 124,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,987.84 : 208,449.84 = 82,843.84 : x
  2. Step 2: Convert to fraction form
    138,987.84/208,449.84 = 82,843.84/x
  3. Step 3: Cross multiply
    138,987.84x = 208,449.84 × 82,843.84
  4. Step 4: Simplify right side
    138,987.84x = 17,268,785,192.99
  5. Step 5: Solve for x
    x = 17,268,785,192.99/138,987.84
  6. Step 6: Final answer
    x = 124,246.73

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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.