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Finding the Fourth Proportional to 271,732.15, 407,668.70 and 103,255.39

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Solution

The fourth proportional to 271,732.15, 407,668.70 and 103,255.39 is: 154,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,732.15 : 407,668.70 = 103,255.39 : x
  2. Step 2: Convert to fraction form
    271,732.15/407,668.70 = 103,255.39/x
  3. Step 3: Cross multiply
    271,732.15x = 407,668.70 × 103,255.39
  4. Step 4: Simplify right side
    271,732.15x = 42,093,990,609.29
  5. Step 5: Solve for x
    x = 42,093,990,609.29/271,732.15
  6. Step 6: Final answer
    x = 154,909.86

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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.