Finding the Fourth Proportional to 205,213.84, 283,199.87 and 128,736.16
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Solution
The fourth proportional to 205,213.84, 283,199.87 and 128,736.16 is: 177,658.89
Step by Step Solution
- Step 1: Write the proportion equation
205,213.84 : 283,199.87 = 128,736.16 : x - Step 2: Convert to fraction form
205,213.84/283,199.87 = 128,736.16/x - Step 3: Cross multiply
205,213.84x = 283,199.87 × 128,736.16 - Step 4: Simplify right side
205,213.84x = 36,458,063,390.14 - Step 5: Solve for x
x = 36,458,063,390.14/205,213.84 - Step 6: Final answer
x = 177,658.89
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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.