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Finding the Fourth Proportional to 271,336.86, 407,021.22 and 91,407.26

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Solution

The fourth proportional to 271,336.86, 407,021.22 and 91,407.26 is: 137,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,336.86 : 407,021.22 = 91,407.26 : x
  2. Step 2: Convert to fraction form
    271,336.86/407,021.22 = 91,407.26/x
  3. Step 3: Cross multiply
    271,336.86x = 407,021.22 × 91,407.26
  4. Step 4: Simplify right side
    271,336.86x = 37,204,694,482.06
  5. Step 5: Solve for x
    x = 37,204,694,482.06/271,336.86
  6. Step 6: Final answer
    x = 137,116.26

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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.