Finding the Fourth Proportional to 81.84, 122.70 and 49.80
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Solution
The fourth proportional to 81.84, 122.70 and 49.80 is: 74.66
Step by Step Solution
- Step 1: Write the proportion equation
81.84 : 122.70 = 49.80 : x - Step 2: Convert to fraction form
81.84/122.70 = 49.80/x - Step 3: Cross multiply
81.84x = 122.70 × 49.80 - Step 4: Simplify right side
81.84x = 6,110.46 - Step 5: Solve for x
x = 6,110.46/81.84 - Step 6: Final answer
x = 74.66
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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.