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Finding the Fourth Proportional to 203,512.84, 305,328.54 and 91,168

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Solution

The fourth proportional to 203,512.84, 305,328.54 and 91,168 is: 136,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,512.84 : 305,328.54 = 91,168 : x
  2. Step 2: Convert to fraction form
    203,512.84/305,328.54 = 91,168/x
  3. Step 3: Cross multiply
    203,512.84x = 305,328.54 × 91,168
  4. Step 4: Simplify right side
    203,512.84x = 27,836,192,334.72
  5. Step 5: Solve for x
    x = 27,836,192,334.72/203,512.84
  6. Step 6: Final answer
    x = 136,778.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.