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Finding the Fourth Proportional to 271,226, 406,839 and 105,014

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Solution

The fourth proportional to 271,226, 406,839 and 105,014 is: 157,521

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,226 : 406,839 = 105,014 : x
  2. Step 2: Convert to fraction form
    271,226/406,839 = 105,014/x
  3. Step 3: Cross multiply
    271,226x = 406,839 × 105,014
  4. Step 4: Simplify right side
    271,226x = 42,723,790,746
  5. Step 5: Solve for x
    x = 42,723,790,746/271,226
  6. Step 6: Final answer
    x = 157,521

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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.