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Finding the Fourth Proportional to 271,513.68, 407,328.96 and 81,958.20

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Solution

The fourth proportional to 271,513.68, 407,328.96 and 81,958.20 is: 122,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,513.68 : 407,328.96 = 81,958.20 : x
  2. Step 2: Convert to fraction form
    271,513.68/407,328.96 = 81,958.20/x
  3. Step 3: Cross multiply
    271,513.68x = 407,328.96 × 81,958.20
  4. Step 4: Simplify right side
    271,513.68x = 33,383,948,369.47
  5. Step 5: Solve for x
    x = 33,383,948,369.47/271,513.68
  6. Step 6: Final answer
    x = 122,954.94

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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.