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Finding the Fourth Proportional to 68,024.90, 102,037.22 and 18,105

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Solution

The fourth proportional to 68,024.90, 102,037.22 and 18,105 is: 27,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,024.90 : 102,037.22 = 18,105 : x
  2. Step 2: Convert to fraction form
    68,024.90/102,037.22 = 18,105/x
  3. Step 3: Cross multiply
    68,024.90x = 102,037.22 × 18,105
  4. Step 4: Simplify right side
    68,024.90x = 1,847,383,868.10
  5. Step 5: Solve for x
    x = 1,847,383,868.10/68,024.90
  6. Step 6: Final answer
    x = 27,157.47

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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.