Finding the Fourth Proportional to 205,713.24, 283,910.49 and 115,074.24
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Solution
The fourth proportional to 205,713.24, 283,910.49 and 115,074.24 is: 158,817.12
Step by Step Solution
- Step 1: Write the proportion equation
205,713.24 : 283,910.49 = 115,074.24 : x - Step 2: Convert to fraction form
205,713.24/283,910.49 = 115,074.24/x - Step 3: Cross multiply
205,713.24x = 283,910.49 × 115,074.24 - Step 4: Simplify right side
205,713.24x = 32,670,783,864.78 - Step 5: Solve for x
x = 32,670,783,864.78/205,713.24 - Step 6: Final answer
x = 158,817.12
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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.