Finding the Fourth Proportional to 206,225,796.75, 284,596,993.16 and 112,145,446.09
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Solution
The fourth proportional to 206,225,796.75, 284,596,993.16 and 112,145,446.09 is: 154,763,648.66
Step by Step Solution
- Step 1: Write the proportion equation
206,225,796.75 : 284,596,993.16 = 112,145,446.09 : x - Step 2: Convert to fraction form
206,225,796.75/284,596,993.16 = 112,145,446.09/x - Step 3: Cross multiply
206,225,796.75x = 284,596,993.16 × 112,145,446.09 - Step 4: Simplify right side
206,225,796.75x = 31,916,256,753,800,884 - Step 5: Solve for x
x = 31,916,256,753,800,884/206,225,796.75 - Step 6: Final answer
x = 154,763,648.66
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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.