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Finding the Fourth Proportional to 271,138.58, 406,705.82 and 81,598.13

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Solution

The fourth proportional to 271,138.58, 406,705.82 and 81,598.13 is: 122,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,138.58 : 406,705.82 = 81,598.13 : x
  2. Step 2: Convert to fraction form
    271,138.58/406,705.82 = 81,598.13/x
  3. Step 3: Cross multiply
    271,138.58x = 406,705.82 × 81,598.13
  4. Step 4: Simplify right side
    271,138.58x = 33,186,431,930.60
  5. Step 5: Solve for x
    x = 33,186,431,930.60/271,138.58
  6. Step 6: Final answer
    x = 122,396.57

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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.