Finding the Fourth Proportional to 202,230,077.20, 303,345,115.80 and 100,193,405.20
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Solution
The fourth proportional to 202,230,077.20, 303,345,115.80 and 100,193,405.20 is: 150,290,107.80
Step by Step Solution
- Step 1: Write the proportion equation
202,230,077.20 : 303,345,115.80 = 100,193,405.20 : x - Step 2: Convert to fraction form
202,230,077.20/303,345,115.80 = 100,193,405.20/x - Step 3: Cross multiply
202,230,077.20x = 303,345,115.80 × 100,193,405.20 - Step 4: Simplify right side
202,230,077.20x = 30,393,180,102,790,324 - Step 5: Solve for x
x = 30,393,180,102,790,324/202,230,077.20 - Step 6: Final answer
x = 150,290,107.80
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1.5x scale
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.