Finding the Fourth Proportional to 140,135,190.40, 210,202,785.60 and 133,120,169.20
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Solution
The fourth proportional to 140,135,190.40, 210,202,785.60 and 133,120,169.20 is: 199,680,253.80
Step by Step Solution
- Step 1: Write the proportion equation
140,135,190.40 : 210,202,785.60 = 133,120,169.20 : x - Step 2: Convert to fraction form
140,135,190.40/210,202,785.60 = 133,120,169.20/x - Step 3: Cross multiply
140,135,190.40x = 210,202,785.60 × 133,120,169.20 - Step 4: Simplify right side
140,135,190.40x = 27,982,230,385,383,324 - Step 5: Solve for x
x = 27,982,230,385,383,324/140,135,190.40 - Step 6: Final answer
x = 199,680,253.80
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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.