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Finding the Fourth Proportional to 171,591.75, 257,142.33 and 75,413.70

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Solution

The fourth proportional to 171,591.75, 257,142.33 and 75,413.70 is: 113,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,591.75 : 257,142.33 = 75,413.70 : x
  2. Step 2: Convert to fraction form
    171,591.75/257,142.33 = 75,413.70/x
  3. Step 3: Cross multiply
    171,591.75x = 257,142.33 × 75,413.70
  4. Step 4: Simplify right side
    171,591.75x = 19,392,054,531.92
  5. Step 5: Solve for x
    x = 19,392,054,531.92/171,591.75
  6. Step 6: Final answer
    x = 113,012.74

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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.