Finding the Fourth Proportional to 206,364.85, 284,662.82 and 129,762.68
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Solution
The fourth proportional to 206,364.85, 284,662.82 and 129,762.68 is: 178,996.62
Step by Step Solution
- Step 1: Write the proportion equation
206,364.85 : 284,662.82 = 129,762.68 : x - Step 2: Convert to fraction form
206,364.85/284,662.82 = 129,762.68/x - Step 3: Cross multiply
206,364.85x = 284,662.82 × 129,762.68 - Step 4: Simplify right side
206,364.85x = 36,938,609,320.65 - Step 5: Solve for x
x = 36,938,609,320.65/206,364.85 - Step 6: Final answer
x = 178,996.62
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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.