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Finding the Fourth Proportional to 68,102.15, 102,153.24 and 18,182.42

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Solution

The fourth proportional to 68,102.15, 102,153.24 and 18,182.42 is: 27,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,102.15 : 102,153.24 = 18,182.42 : x
  2. Step 2: Convert to fraction form
    68,102.15/102,153.24 = 18,182.42/x
  3. Step 3: Cross multiply
    68,102.15x = 102,153.24 × 18,182.42
  4. Step 4: Simplify right side
    68,102.15x = 1,857,393,114.04
  5. Step 5: Solve for x
    x = 1,857,393,114.04/68,102.15
  6. Step 6: Final answer
    x = 27,273.63

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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.