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Finding the Fourth Proportional to 75,120.91, 103,662.75 and 41,122.82

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Solution

The fourth proportional to 75,120.91, 103,662.75 and 41,122.82 is: 56,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,120.91 : 103,662.75 = 41,122.82 : x
  2. Step 2: Convert to fraction form
    75,120.91/103,662.75 = 41,122.82/x
  3. Step 3: Cross multiply
    75,120.91x = 103,662.75 × 41,122.82
  4. Step 4: Simplify right side
    75,120.91x = 4,262,904,403.34
  5. Step 5: Solve for x
    x = 4,262,904,403.34/75,120.91
  6. Step 6: Final answer
    x = 56,747.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.