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Finding the Fourth Proportional to 271,234.90, 406,852.32 and 91,305.21

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Solution

The fourth proportional to 271,234.90, 406,852.32 and 91,305.21 is: 136,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,234.90 : 406,852.32 = 91,305.21 : x
  2. Step 2: Convert to fraction form
    271,234.90/406,852.32 = 91,305.21/x
  3. Step 3: Cross multiply
    271,234.90x = 406,852.32 × 91,305.21
  4. Step 4: Simplify right side
    271,234.90x = 37,147,736,516.59
  5. Step 5: Solve for x
    x = 37,147,736,516.59/271,234.90
  6. Step 6: Final answer
    x = 136,957.80

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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.