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Finding the Fourth Proportional to 271,506.84, 407,318.76 and 81,951.32

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Solution

The fourth proportional to 271,506.84, 407,318.76 and 81,951.32 is: 122,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,506.84 : 407,318.76 = 81,951.32 : x
  2. Step 2: Convert to fraction form
    271,506.84/407,318.76 = 81,951.32/x
  3. Step 3: Cross multiply
    271,506.84x = 407,318.76 × 81,951.32
  4. Step 4: Simplify right side
    271,506.84x = 33,380,310,042.76
  5. Step 5: Solve for x
    x = 33,380,310,042.76/271,506.84
  6. Step 6: Final answer
    x = 122,944.64

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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.