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Finding the Fourth Proportional to 271,808.10, 407,712.02 and 84,819.60

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Solution

The fourth proportional to 271,808.10, 407,712.02 and 84,819.60 is: 127,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808.10 : 407,712.02 = 84,819.60 : x
  2. Step 2: Convert to fraction form
    271,808.10/407,712.02 = 84,819.60/x
  3. Step 3: Cross multiply
    271,808.10x = 407,712.02 × 84,819.60
  4. Step 4: Simplify right side
    271,808.10x = 34,581,970,027.49
  5. Step 5: Solve for x
    x = 34,581,970,027.49/271,808.10
  6. Step 6: Final answer
    x = 127,229.36

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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.