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Finding the Fourth Proportional to 203,852.64, 281,326.05 and 113,209

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Solution

The fourth proportional to 203,852.64, 281,326.05 and 113,209 is: 156,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,852.64 : 281,326.05 = 113,209 : x
  2. Step 2: Convert to fraction form
    203,852.64/281,326.05 = 113,209/x
  3. Step 3: Cross multiply
    203,852.64x = 281,326.05 × 113,209
  4. Step 4: Simplify right side
    203,852.64x = 31,848,640,794.45
  5. Step 5: Solve for x
    x = 31,848,640,794.45/203,852.64
  6. Step 6: Final answer
    x = 156,233.64

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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.