Finding the Fourth Proportional to 189,596.99, 284,448.14 and 82,961.84
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Solution
The fourth proportional to 189,596.99, 284,448.14 and 82,961.84 is: 124,465.79
Step by Step Solution
- Step 1: Write the proportion equation
189,596.99 : 284,448.14 = 82,961.84 : x - Step 2: Convert to fraction form
189,596.99/284,448.14 = 82,961.84/x - Step 3: Cross multiply
189,596.99x = 284,448.14 × 82,961.84 - Step 4: Simplify right side
189,596.99x = 23,598,339,241.93 - Step 5: Solve for x
x = 23,598,339,241.93/189,596.99 - Step 6: Final answer
x = 124,465.79
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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.