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Finding the Fourth Proportional to 203,906.70, 281,413.32 and 123,378.63

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Solution

The fourth proportional to 203,906.70, 281,413.32 and 123,378.63 is: 170,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906.70 : 281,413.32 = 123,378.63 : x
  2. Step 2: Convert to fraction form
    203,906.70/281,413.32 = 123,378.63/x
  3. Step 3: Cross multiply
    203,906.70x = 281,413.32 × 123,378.63
  4. Step 4: Simplify right side
    203,906.70x = 34,720,389,885.35
  5. Step 5: Solve for x
    x = 34,720,389,885.35/203,906.70
  6. Step 6: Final answer
    x = 170,275.87

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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.