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Finding the Fourth Proportional to 71,755.68, 107,633.52 and 19,162.38

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Solution

The fourth proportional to 71,755.68, 107,633.52 and 19,162.38 is: 28,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,755.68 : 107,633.52 = 19,162.38 : x
  2. Step 2: Convert to fraction form
    71,755.68/107,633.52 = 19,162.38/x
  3. Step 3: Cross multiply
    71,755.68x = 107,633.52 × 19,162.38
  4. Step 4: Simplify right side
    71,755.68x = 2,062,514,410.98
  5. Step 5: Solve for x
    x = 2,062,514,410.98/71,755.68
  6. Step 6: Final answer
    x = 28,743.57

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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.