Finding the Fourth Proportional to 206,107.26, 284,425.39 and 115,461.57
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Solution
The fourth proportional to 206,107.26, 284,425.39 and 115,461.57 is: 159,335.49
Step by Step Solution
- Step 1: Write the proportion equation
206,107.26 : 284,425.39 = 115,461.57 : x - Step 2: Convert to fraction form
206,107.26/284,425.39 = 115,461.57/x - Step 3: Cross multiply
206,107.26x = 284,425.39 × 115,461.57 - Step 4: Simplify right side
206,107.26x = 32,840,202,077.26 - Step 5: Solve for x
x = 32,840,202,077.26/206,107.26 - Step 6: Final answer
x = 159,335.49
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.