Finding the Fourth Proportional to 196,644.81, 271,361.14 and 120,292.09
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Solution
The fourth proportional to 196,644.81, 271,361.14 and 120,292.09 is: 165,997.76
Step by Step Solution
- Step 1: Write the proportion equation
196,644.81 : 271,361.14 = 120,292.09 : x - Step 2: Convert to fraction form
196,644.81/271,361.14 = 120,292.09/x - Step 3: Cross multiply
196,644.81x = 271,361.14 × 120,292.09 - Step 4: Simplify right side
196,644.81x = 32,642,597,696.25 - Step 5: Solve for x
x = 32,642,597,696.25/196,644.81 - Step 6: Final answer
x = 165,997.76
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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.