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Finding the Fourth Proportional to 205,040.70, 307,413.42 and 125,991.60

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Solution

The fourth proportional to 205,040.70, 307,413.42 and 125,991.60 is: 188,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,040.70 : 307,413.42 = 125,991.60 : x
  2. Step 2: Convert to fraction form
    205,040.70/307,413.42 = 125,991.60/x
  3. Step 3: Cross multiply
    205,040.70x = 307,413.42 × 125,991.60
  4. Step 4: Simplify right side
    205,040.70x = 38,731,508,647.27
  5. Step 5: Solve for x
    x = 38,731,508,647.27/205,040.70
  6. Step 6: Final answer
    x = 188,896.69

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1.5x scale

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.