Finding the Fourth Proportional to 206,163.74, 284,456.66 and 120,070.46
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Solution
The fourth proportional to 206,163.74, 284,456.66 and 120,070.46 is: 165,668.52
Step by Step Solution
- Step 1: Write the proportion equation
206,163.74 : 284,456.66 = 120,070.46 : x - Step 2: Convert to fraction form
206,163.74/284,456.66 = 120,070.46/x - Step 3: Cross multiply
206,163.74x = 284,456.66 × 120,070.46 - Step 4: Simplify right side
206,163.74x = 34,154,842,016.26 - Step 5: Solve for x
x = 34,154,842,016.26/206,163.74 - Step 6: Final answer
x = 165,668.52
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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.