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Finding the Fourth Proportional to 36,012, 49,695.28 and 20,099.16

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Solution

The fourth proportional to 36,012, 49,695.28 and 20,099.16 is: 27,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,012 : 49,695.28 = 20,099.16 : x
  2. Step 2: Convert to fraction form
    36,012/49,695.28 = 20,099.16/x
  3. Step 3: Cross multiply
    36,012x = 49,695.28 × 20,099.16
  4. Step 4: Simplify right side
    36,012x = 998,833,383.96
  5. Step 5: Solve for x
    x = 998,833,383.96/36,012
  6. Step 6: Final answer
    x = 27,736.13

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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.