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Finding the Fourth Proportional to 68,021.90, 102,032.72 and 18,102

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Solution

The fourth proportional to 68,021.90, 102,032.72 and 18,102 is: 27,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,021.90 : 102,032.72 = 18,102 : x
  2. Step 2: Convert to fraction form
    68,021.90/102,032.72 = 18,102/x
  3. Step 3: Cross multiply
    68,021.90x = 102,032.72 × 18,102
  4. Step 4: Simplify right side
    68,021.90x = 1,846,996,297.44
  5. Step 5: Solve for x
    x = 1,846,996,297.44/68,021.90
  6. Step 6: Final answer
    x = 27,152.97

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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.