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Finding the Fourth Proportional to 271,335.42, 406,996.79 and 71,669.75

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Solution

The fourth proportional to 271,335.42, 406,996.79 and 71,669.75 is: 107,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,335.42 : 406,996.79 = 71,669.75 : x
  2. Step 2: Convert to fraction form
    271,335.42/406,996.79 = 71,669.75/x
  3. Step 3: Cross multiply
    271,335.42x = 406,996.79 × 71,669.75
  4. Step 4: Simplify right side
    271,335.42x = 29,169,355,796.77
  5. Step 5: Solve for x
    x = 29,169,355,796.77/271,335.42
  6. Step 6: Final answer
    x = 107,502.94

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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.