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Finding the Fourth Proportional to 271,512.36, 407,334.40 and 81,961.42

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Solution

The fourth proportional to 271,512.36, 407,334.40 and 81,961.42 is: 122,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,512.36 : 407,334.40 = 81,961.42 : x
  2. Step 2: Convert to fraction form
    271,512.36/407,334.40 = 81,961.42/x
  3. Step 3: Cross multiply
    271,512.36x = 407,334.40 × 81,961.42
  4. Step 4: Simplify right side
    271,512.36x = 33,385,705,838.85
  5. Step 5: Solve for x
    x = 33,385,705,838.85/271,512.36
  6. Step 6: Final answer
    x = 122,962.01

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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.