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Finding the Fourth Proportional to 51,093.68, 76,649.67 and 21,107.91

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Solution

The fourth proportional to 51,093.68, 76,649.67 and 21,107.91 is: 31,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,093.68 : 76,649.67 = 21,107.91 : x
  2. Step 2: Convert to fraction form
    51,093.68/76,649.67 = 21,107.91/x
  3. Step 3: Cross multiply
    51,093.68x = 76,649.67 × 21,107.91
  4. Step 4: Simplify right side
    51,093.68x = 1,617,914,623.33
  5. Step 5: Solve for x
    x = 1,617,914,623.33/51,093.68
  6. Step 6: Final answer
    x = 31,665.65

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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.