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Finding the Fourth Proportional to 67,768.26, 101,651.37 and 21,021.13

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Solution

The fourth proportional to 67,768.26, 101,651.37 and 21,021.13 is: 31,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,768.26 : 101,651.37 = 21,021.13 : x
  2. Step 2: Convert to fraction form
    67,768.26/101,651.37 = 21,021.13/x
  3. Step 3: Cross multiply
    67,768.26x = 101,651.37 × 21,021.13
  4. Step 4: Simplify right side
    67,768.26x = 2,136,826,663.45
  5. Step 5: Solve for x
    x = 2,136,826,663.45/67,768.26
  6. Step 6: Final answer
    x = 31,531.38

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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.