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Finding the Fourth Proportional to 203,871.64, 281,346.35 and 111,994.80

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Solution

The fourth proportional to 203,871.64, 281,346.35 and 111,994.80 is: 154,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,871.64 : 281,346.35 = 111,994.80 : x
  2. Step 2: Convert to fraction form
    203,871.64/281,346.35 = 111,994.80/x
  3. Step 3: Cross multiply
    203,871.64x = 281,346.35 × 111,994.80
  4. Step 4: Simplify right side
    203,871.64x = 31,509,326,232.27
  5. Step 5: Solve for x
    x = 31,509,326,232.27/203,871.64
  6. Step 6: Final answer
    x = 154,554.73

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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.