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Finding the Fourth Proportional to 81,709.83, 122,550.14 and 21,738.65

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Solution

The fourth proportional to 81,709.83, 122,550.14 and 21,738.65 is: 32,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,709.83 : 122,550.14 = 21,738.65 : x
  2. Step 2: Convert to fraction form
    81,709.83/122,550.14 = 21,738.65/x
  3. Step 3: Cross multiply
    81,709.83x = 122,550.14 × 21,738.65
  4. Step 4: Simplify right side
    81,709.83x = 2,664,074,042.51
  5. Step 5: Solve for x
    x = 2,664,074,042.51/81,709.83
  6. Step 6: Final answer
    x = 32,604.08

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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.