Finding the Fourth Proportional to 81.96, 122.96 and 49.88
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Solution
The fourth proportional to 81.96, 122.96 and 49.88 is: 74.83
Step by Step Solution
- Step 1: Write the proportion equation
81.96 : 122.96 = 49.88 : x - Step 2: Convert to fraction form
81.96/122.96 = 49.88/x - Step 3: Cross multiply
81.96x = 122.96 × 49.88 - Step 4: Simplify right side
81.96x = 6,133.24 - Step 5: Solve for x
x = 6,133.24/81.96 - Step 6: Final answer
x = 74.83
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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.