Finding the Fourth Proportional to 122.49, 183.69 and 81.90
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Solution
The fourth proportional to 122.49, 183.69 and 81.90 is: 122.82
Step by Step Solution
- Step 1: Write the proportion equation
122.49 : 183.69 = 81.90 : x - Step 2: Convert to fraction form
122.49/183.69 = 81.90/x - Step 3: Cross multiply
122.49x = 183.69 × 81.90 - Step 4: Simplify right side
122.49x = 15,044.21 - Step 5: Solve for x
x = 15,044.21/122.49 - Step 6: Final answer
x = 122.82
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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.