Finding the Fourth Proportional to 206,472,745.68, 284,939,907.54 and 112,382,348.19
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Solution
The fourth proportional to 206,472,745.68, 284,939,907.54 and 112,382,348.19 is: 155,091,732.79
Step by Step Solution
- Step 1: Write the proportion equation
206,472,745.68 : 284,939,907.54 = 112,382,348.19 : x - Step 2: Convert to fraction form
206,472,745.68/284,939,907.54 = 112,382,348.19/x - Step 3: Cross multiply
206,472,745.68x = 284,939,907.54 × 112,382,348.19 - Step 4: Simplify right side
206,472,745.68x = 32,022,215,902,386,688 - Step 5: Solve for x
x = 32,022,215,902,386,688/206,472,745.68 - Step 6: Final answer
x = 155,091,732.79
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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.