Finding the Fourth Proportional to 206,798.26, 309,976.80 and 117,860.26
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Solution
The fourth proportional to 206,798.26, 309,976.80 and 117,860.26 is: 176,664.67
Step by Step Solution
- Step 1: Write the proportion equation
206,798.26 : 309,976.80 = 117,860.26 : x - Step 2: Convert to fraction form
206,798.26/309,976.80 = 117,860.26/x - Step 3: Cross multiply
206,798.26x = 309,976.80 × 117,860.26 - Step 4: Simplify right side
206,798.26x = 36,533,946,241.97 - Step 5: Solve for x
x = 36,533,946,241.97/206,798.26 - Step 6: Final answer
x = 176,664.67
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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.