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Finding the Fourth Proportional to 271,423.80, 406,971.54 and 121,636.44

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Solution

The fourth proportional to 271,423.80, 406,971.54 and 121,636.44 is: 182,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,423.80 : 406,971.54 = 121,636.44 : x
  2. Step 2: Convert to fraction form
    271,423.80/406,971.54 = 121,636.44/x
  3. Step 3: Cross multiply
    271,423.80x = 406,971.54 × 121,636.44
  4. Step 4: Simplify right side
    271,423.80x = 49,502,569,306.92
  5. Step 5: Solve for x
    x = 49,502,569,306.92/271,423.80
  6. Step 6: Final answer
    x = 182,381.09

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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.