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Finding the Fourth Proportional to 68,089.51, 102,143.84 and 18,171.24

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Solution

The fourth proportional to 68,089.51, 102,143.84 and 18,171.24 is: 27,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,089.51 : 102,143.84 = 18,171.24 : x
  2. Step 2: Convert to fraction form
    68,089.51/102,143.84 = 18,171.24/x
  3. Step 3: Cross multiply
    68,089.51x = 102,143.84 × 18,171.24
  4. Step 4: Simplify right side
    68,089.51x = 1,856,079,757.27
  5. Step 5: Solve for x
    x = 1,856,079,757.27/68,089.51
  6. Step 6: Final answer
    x = 27,259.41

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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.