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Finding the Fourth Proportional to 68,093.16, 102,139.74 and 18,173.42

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Solution

The fourth proportional to 68,093.16, 102,139.74 and 18,173.42 is: 27,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,093.16 : 102,139.74 = 18,173.42 : x
  2. Step 2: Convert to fraction form
    68,093.16/102,139.74 = 18,173.42/x
  3. Step 3: Cross multiply
    68,093.16x = 102,139.74 × 18,173.42
  4. Step 4: Simplify right side
    68,093.16x = 1,856,228,393.71
  5. Step 5: Solve for x
    x = 1,856,228,393.71/68,093.16
  6. Step 6: Final answer
    x = 27,260.13

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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.