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Finding the Fourth Proportional to 271,169.30, 406,774.74 and 91,255.61

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Solution

The fourth proportional to 271,169.30, 406,774.74 and 91,255.61 is: 136,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,169.30 : 406,774.74 = 91,255.61 : x
  2. Step 2: Convert to fraction form
    271,169.30/406,774.74 = 91,255.61/x
  3. Step 3: Cross multiply
    271,169.30x = 406,774.74 × 91,255.61
  4. Step 4: Simplify right side
    271,169.30x = 37,120,477,031.29
  5. Step 5: Solve for x
    x = 37,120,477,031.29/271,169.30
  6. Step 6: Final answer
    x = 136,890.41

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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.