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Finding the Fourth Proportional to 139,770.84, 192,878.49 and 85,413.90

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Solution

The fourth proportional to 139,770.84, 192,878.49 and 85,413.90 is: 117,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,770.84 : 192,878.49 = 85,413.90 : x
  2. Step 2: Convert to fraction form
    139,770.84/192,878.49 = 85,413.90/x
  3. Step 3: Cross multiply
    139,770.84x = 192,878.49 × 85,413.90
  4. Step 4: Simplify right side
    139,770.84x = 16,474,504,057.01
  5. Step 5: Solve for x
    x = 16,474,504,057.01/139,770.84
  6. Step 6: Final answer
    x = 117,867.96

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Why These Related Problems?

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