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Finding the Fourth Proportional to 68,007, 102,016.26 and 18,759

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Solution

The fourth proportional to 68,007, 102,016.26 and 18,759 is: 28,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,007 : 102,016.26 = 18,759 : x
  2. Step 2: Convert to fraction form
    68,007/102,016.26 = 18,759/x
  3. Step 3: Cross multiply
    68,007x = 102,016.26 × 18,759
  4. Step 4: Simplify right side
    68,007x = 1,913,723,021.34
  5. Step 5: Solve for x
    x = 1,913,723,021.34/68,007
  6. Step 6: Final answer
    x = 28,140.09

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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.