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Finding the Fourth Proportional to 271,000.89, 406,420.34 and 81,410.54

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Solution

The fourth proportional to 271,000.89, 406,420.34 and 81,410.54 is: 122,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,000.89 : 406,420.34 = 81,410.54 : x
  2. Step 2: Convert to fraction form
    271,000.89/406,420.34 = 81,410.54/x
  3. Step 3: Cross multiply
    271,000.89x = 406,420.34 × 81,410.54
  4. Step 4: Simplify right side
    271,000.89x = 33,086,900,336.40
  5. Step 5: Solve for x
    x = 33,086,900,336.40/271,000.89
  6. Step 6: Final answer
    x = 122,091.48

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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.