Finding the Fourth Proportional to 206,125,133.37, 284,589,657.66 and 158,355,307.70
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Solution
The fourth proportional to 206,125,133.37, 284,589,657.66 and 158,355,307.70 is: 218,635,554.38
Step by Step Solution
- Step 1: Write the proportion equation
206,125,133.37 : 284,589,657.66 = 158,355,307.70 : x - Step 2: Convert to fraction form
206,125,133.37/284,589,657.66 = 158,355,307.70/x - Step 3: Cross multiply
206,125,133.37x = 284,589,657.66 × 158,355,307.70 - Step 4: Simplify right side
206,125,133.37x = 45,066,282,805,564,016 - Step 5: Solve for x
x = 45,066,282,805,564,016/206,125,133.37 - Step 6: Final answer
x = 218,635,554.38
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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.