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Finding the Fourth Proportional to 222,738, 307,378.50 and 122,138.16

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Solution

The fourth proportional to 222,738, 307,378.50 and 122,138.16 is: 168,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,738 : 307,378.50 = 122,138.16 : x
  2. Step 2: Convert to fraction form
    222,738/307,378.50 = 122,138.16/x
  3. Step 3: Cross multiply
    222,738x = 307,378.50 × 122,138.16
  4. Step 4: Simplify right side
    222,738x = 37,542,644,413.56
  5. Step 5: Solve for x
    x = 37,542,644,413.56/222,738
  6. Step 6: Final answer
    x = 168,550.69

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1.5x scale

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.