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Finding the Fourth Proportional to 271,504.80, 407,093.58 and 121,718

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Solution

The fourth proportional to 271,504.80, 407,093.58 and 121,718 is: 182,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,504.80 : 407,093.58 = 121,718 : x
  2. Step 2: Convert to fraction form
    271,504.80/407,093.58 = 121,718/x
  3. Step 3: Cross multiply
    271,504.80x = 407,093.58 × 121,718
  4. Step 4: Simplify right side
    271,504.80x = 49,550,616,370.44
  5. Step 5: Solve for x
    x = 49,550,616,370.44/271,504.80
  6. Step 6: Final answer
    x = 182,503.65

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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.