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Finding the Fourth Proportional to 75,142.60, 103,685.94 and 41,608.52

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Solution

The fourth proportional to 75,142.60, 103,685.94 and 41,608.52 is: 57,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142.60 : 103,685.94 = 41,608.52 : x
  2. Step 2: Convert to fraction form
    75,142.60/103,685.94 = 41,608.52/x
  3. Step 3: Cross multiply
    75,142.60x = 103,685.94 × 41,608.52
  4. Step 4: Simplify right side
    75,142.60x = 4,314,218,508.21
  5. Step 5: Solve for x
    x = 4,314,218,508.21/75,142.60
  6. Step 6: Final answer
    x = 57,413.75

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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.