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Finding the Fourth Proportional to 271,056.90, 406,605.33 and 71,375.91

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Solution

The fourth proportional to 271,056.90, 406,605.33 and 71,375.91 is: 107,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,056.90 : 406,605.33 = 71,375.91 : x
  2. Step 2: Convert to fraction form
    271,056.90/406,605.33 = 71,375.91/x
  3. Step 3: Cross multiply
    271,056.90x = 406,605.33 × 71,375.91
  4. Step 4: Simplify right side
    271,056.90x = 29,021,823,914.83
  5. Step 5: Solve for x
    x = 29,021,823,914.83/271,056.90
  6. Step 6: Final answer
    x = 107,069.12

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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.