Finding the Fourth Proportional to 81.76, 122.49 and 49.63
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Solution
The fourth proportional to 81.76, 122.49 and 49.63 is: 74.35
Step by Step Solution
- Step 1: Write the proportion equation
81.76 : 122.49 = 49.63 : x - Step 2: Convert to fraction form
81.76/122.49 = 49.63/x - Step 3: Cross multiply
81.76x = 122.49 × 49.63 - Step 4: Simplify right side
81.76x = 6,079.18 - Step 5: Solve for x
x = 6,079.18/81.76 - Step 6: Final answer
x = 74.35
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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.