Finding the Fourth Proportional to 205,771.61, 283,975.87 and 115,122.18
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Solution
The fourth proportional to 205,771.61, 283,975.87 and 115,122.18 is: 158,874.79
Step by Step Solution
- Step 1: Write the proportion equation
205,771.61 : 283,975.87 = 115,122.18 : x - Step 2: Convert to fraction form
205,771.61/283,975.87 = 115,122.18/x - Step 3: Cross multiply
205,771.61x = 283,975.87 × 115,122.18 - Step 4: Simplify right side
205,771.61x = 32,691,920,933.99 - Step 5: Solve for x
x = 32,691,920,933.99/205,771.61 - Step 6: Final answer
x = 158,874.79
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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.