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Finding the Fourth Proportional to 76,135.54, 105,065.38 and 41,680.19

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Solution

The fourth proportional to 76,135.54, 105,065.38 and 41,680.19 is: 57,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,135.54 : 105,065.38 = 41,680.19 : x
  2. Step 2: Convert to fraction form
    76,135.54/105,065.38 = 41,680.19/x
  3. Step 3: Cross multiply
    76,135.54x = 105,065.38 × 41,680.19
  4. Step 4: Simplify right side
    76,135.54x = 4,379,145,000.82
  5. Step 5: Solve for x
    x = 4,379,145,000.82/76,135.54
  6. Step 6: Final answer
    x = 57,517.75

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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.