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Finding the Fourth Proportional to 68,020.92, 102,031.22 and 18,101

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Solution

The fourth proportional to 68,020.92, 102,031.22 and 18,101 is: 27,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,020.92 : 102,031.22 = 18,101 : x
  2. Step 2: Convert to fraction form
    68,020.92/102,031.22 = 18,101/x
  3. Step 3: Cross multiply
    68,020.92x = 102,031.22 × 18,101
  4. Step 4: Simplify right side
    68,020.92x = 1,846,867,113.22
  5. Step 5: Solve for x
    x = 1,846,867,113.22/68,020.92
  6. Step 6: Final answer
    x = 27,151.46

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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.