Finding the Fourth Proportional to 200,106.96, 299,814.12 and 105,195.84
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Solution
The fourth proportional to 200,106.96, 299,814.12 and 105,195.84 is: 157,611.70
Step by Step Solution
- Step 1: Write the proportion equation
200,106.96 : 299,814.12 = 105,195.84 : x - Step 2: Convert to fraction form
200,106.96/299,814.12 = 105,195.84/x - Step 3: Cross multiply
200,106.96x = 299,814.12 × 105,195.84 - Step 4: Simplify right side
200,106.96x = 31,539,198,197.26 - Step 5: Solve for x
x = 31,539,198,197.26/200,106.96 - Step 6: Final answer
x = 157,611.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.