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Finding the Fourth Proportional to 36,022.50, 49,716.81 and 21,118.50

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Solution

The fourth proportional to 36,022.50, 49,716.81 and 21,118.50 is: 29,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022.50 : 49,716.81 = 21,118.50 : x
  2. Step 2: Convert to fraction form
    36,022.50/49,716.81 = 21,118.50/x
  3. Step 3: Cross multiply
    36,022.50x = 49,716.81 × 21,118.50
  4. Step 4: Simplify right side
    36,022.50x = 1,049,944,451.99
  5. Step 5: Solve for x
    x = 1,049,944,451.99/36,022.50
  6. Step 6: Final answer
    x = 29,146.91

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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.