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Finding the Fourth Proportional to 203,870.21, 281,344.37 and 111,993.37

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Solution

The fourth proportional to 203,870.21, 281,344.37 and 111,993.37 is: 154,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,870.21 : 281,344.37 = 111,993.37 : x
  2. Step 2: Convert to fraction form
    203,870.21/281,344.37 = 111,993.37/x
  3. Step 3: Cross multiply
    203,870.21x = 281,344.37 × 111,993.37
  4. Step 4: Simplify right side
    203,870.21x = 31,508,705,110.17
  5. Step 5: Solve for x
    x = 31,508,705,110.17/203,870.21
  6. Step 6: Final answer
    x = 154,552.77

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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.