Finding the Fourth Proportional to 206,163.42, 284,383.35 and 130,580.70
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Solution
The fourth proportional to 206,163.42, 284,383.35 and 130,580.70 is: 180,123.99
Step by Step Solution
- Step 1: Write the proportion equation
206,163.42 : 284,383.35 = 130,580.70 : x - Step 2: Convert to fraction form
206,163.42/284,383.35 = 130,580.70/x - Step 3: Cross multiply
206,163.42x = 284,383.35 × 130,580.70 - Step 4: Simplify right side
206,163.42x = 37,134,976,911.35 - Step 5: Solve for x
x = 37,134,976,911.35/206,163.42 - Step 6: Final answer
x = 180,123.99
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1.5x scale
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.