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Finding the Fourth Proportional to 36,016, 49,707.84 and 21,112

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Solution

The fourth proportional to 36,016, 49,707.84 and 21,112 is: 29,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,016 : 49,707.84 = 21,112 : x
  2. Step 2: Convert to fraction form
    36,016/49,707.84 = 21,112/x
  3. Step 3: Cross multiply
    36,016x = 49,707.84 × 21,112
  4. Step 4: Simplify right side
    36,016x = 1,049,431,918.08
  5. Step 5: Solve for x
    x = 1,049,431,918.08/36,016
  6. Step 6: Final answer
    x = 29,137.94

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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.