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Finding the Fourth Proportional to 271,281.06, 406,954.26 and 130,941

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Solution

The fourth proportional to 271,281.06, 406,954.26 and 130,941 is: 196,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,281.06 : 406,954.26 = 130,941 : x
  2. Step 2: Convert to fraction form
    271,281.06/406,954.26 = 130,941/x
  3. Step 3: Cross multiply
    271,281.06x = 406,954.26 × 130,941
  4. Step 4: Simplify right side
    271,281.06x = 53,286,997,758.66
  5. Step 5: Solve for x
    x = 53,286,997,758.66/271,281.06
  6. Step 6: Final answer
    x = 196,427.27

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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.