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Finding the Fourth Proportional to 271,173.21, 406,762.25 and 71,521.98

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Solution

The fourth proportional to 271,173.21, 406,762.25 and 71,521.98 is: 107,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,173.21 : 406,762.25 = 71,521.98 : x
  2. Step 2: Convert to fraction form
    271,173.21/406,762.25 = 71,521.98/x
  3. Step 3: Cross multiply
    271,173.21x = 406,762.25 × 71,521.98
  4. Step 4: Simplify right side
    271,173.21x = 29,092,441,151.65
  5. Step 5: Solve for x
    x = 29,092,441,151.65/271,173.21
  6. Step 6: Final answer
    x = 107,283.61

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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.