Finding the Fourth Proportional to 200,202,220.70, 300,303,331.05 and 85,190,515.10
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Solution
The fourth proportional to 200,202,220.70, 300,303,331.05 and 85,190,515.10 is: 127,785,772.65
Step by Step Solution
- Step 1: Write the proportion equation
200,202,220.70 : 300,303,331.05 = 85,190,515.10 : x - Step 2: Convert to fraction form
200,202,220.70/300,303,331.05 = 85,190,515.10/x - Step 3: Cross multiply
200,202,220.70x = 300,303,331.05 × 85,190,515.10 - Step 4: Simplify right side
200,202,220.70x = 25,582,995,458,395,324 - Step 5: Solve for x
x = 25,582,995,458,395,324/200,202,220.70 - Step 6: Final answer
x = 127,785,772.65
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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.