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Finding the Fourth Proportional to 271,618.60, 407,427.90 and 71,969.80

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Solution

The fourth proportional to 271,618.60, 407,427.90 and 71,969.80 is: 107,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,618.60 : 407,427.90 = 71,969.80 : x
  2. Step 2: Convert to fraction form
    271,618.60/407,427.90 = 71,969.80/x
  3. Step 3: Cross multiply
    271,618.60x = 407,427.90 × 71,969.80
  4. Step 4: Simplify right side
    271,618.60x = 29,322,504,477.42
  5. Step 5: Solve for x
    x = 29,322,504,477.42/271,618.60
  6. Step 6: Final answer
    x = 107,954.70

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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.