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Finding the Fourth Proportional to 197,786.48, 296,589.48 and 85,413.68

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Solution

The fourth proportional to 197,786.48, 296,589.48 and 85,413.68 is: 128,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,786.48 : 296,589.48 = 85,413.68 : x
  2. Step 2: Convert to fraction form
    197,786.48/296,589.48 = 85,413.68/x
  3. Step 3: Cross multiply
    197,786.48x = 296,589.48 × 85,413.68
  4. Step 4: Simplify right side
    197,786.48x = 25,332,798,936.09
  5. Step 5: Solve for x
    x = 25,332,798,936.09/197,786.48
  6. Step 6: Final answer
    x = 128,081.55

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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.