Finding the Fourth Proportional to 206,163.92, 284,384.04 and 130,581.20
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Solution
The fourth proportional to 206,163.92, 284,384.04 and 130,581.20 is: 180,124.68
Step by Step Solution
- Step 1: Write the proportion equation
206,163.92 : 284,384.04 = 130,581.20 : x - Step 2: Convert to fraction form
206,163.92/284,384.04 = 130,581.20/x - Step 3: Cross multiply
206,163.92x = 284,384.04 × 130,581.20 - Step 4: Simplify right side
206,163.92x = 37,135,209,204.05 - Step 5: Solve for x
x = 37,135,209,204.05/206,163.92 - Step 6: Final answer
x = 180,124.68
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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.