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Finding the Fourth Proportional to 271,310.89, 407,024.65 and 91,414.19

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Solution

The fourth proportional to 271,310.89, 407,024.65 and 91,414.19 is: 137,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,310.89 : 407,024.65 = 91,414.19 : x
  2. Step 2: Convert to fraction form
    271,310.89/407,024.65 = 91,414.19/x
  3. Step 3: Cross multiply
    271,310.89x = 407,024.65 × 91,414.19
  4. Step 4: Simplify right side
    271,310.89x = 37,207,827,672.22
  5. Step 5: Solve for x
    x = 37,207,827,672.22/271,310.89
  6. Step 6: Final answer
    x = 137,140.93

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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.