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Finding the Fourth Proportional to 67,767.26, 101,649.87 and 21,020.13

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Solution

The fourth proportional to 67,767.26, 101,649.87 and 21,020.13 is: 31,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,767.26 : 101,649.87 = 21,020.13 : x
  2. Step 2: Convert to fraction form
    67,767.26/101,649.87 = 21,020.13/x
  3. Step 3: Cross multiply
    67,767.26x = 101,649.87 × 21,020.13
  4. Step 4: Simplify right side
    67,767.26x = 2,136,693,481.88
  5. Step 5: Solve for x
    x = 2,136,693,481.88/67,767.26
  6. Step 6: Final answer
    x = 31,529.88

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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.