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Finding the Fourth Proportional to 271,147.59, 406,719.30 and 81,607.14

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Solution

The fourth proportional to 271,147.59, 406,719.30 and 81,607.14 is: 122,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,147.59 : 406,719.30 = 81,607.14 : x
  2. Step 2: Convert to fraction form
    271,147.59/406,719.30 = 81,607.14/x
  3. Step 3: Cross multiply
    271,147.59x = 406,719.30 × 81,607.14
  4. Step 4: Simplify right side
    271,147.59x = 33,191,198,855.80
  5. Step 5: Solve for x
    x = 33,191,198,855.80/271,147.59
  6. Step 6: Final answer
    x = 122,410.08

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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.