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Finding the Fourth Proportional to 30,236, 41,729.62 and 18,299.54

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Solution

The fourth proportional to 30,236, 41,729.62 and 18,299.54 is: 25,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,236 : 41,729.62 = 18,299.54 : x
  2. Step 2: Convert to fraction form
    30,236/41,729.62 = 18,299.54/x
  3. Step 3: Cross multiply
    30,236x = 41,729.62 × 18,299.54
  4. Step 4: Simplify right side
    30,236x = 763,632,850.37
  5. Step 5: Solve for x
    x = 763,632,850.37/30,236
  6. Step 6: Final answer
    x = 25,255.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.