Finding the Fourth Proportional to 122.07, 182.99 and 87.74
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Solution
The fourth proportional to 122.07, 182.99 and 87.74 is: 131.53
Step by Step Solution
- Step 1: Write the proportion equation
122.07 : 182.99 = 87.74 : x - Step 2: Convert to fraction form
122.07/182.99 = 87.74/x - Step 3: Cross multiply
122.07x = 182.99 × 87.74 - Step 4: Simplify right side
122.07x = 16,055.54 - Step 5: Solve for x
x = 16,055.54/122.07 - Step 6: Final answer
x = 131.53
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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.