Finding the Fourth Proportional to 122.64, 183.77 and 84.14
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Solution
The fourth proportional to 122.64, 183.77 and 84.14 is: 126.08
Step by Step Solution
- Step 1: Write the proportion equation
122.64 : 183.77 = 84.14 : x - Step 2: Convert to fraction form
122.64/183.77 = 84.14/x - Step 3: Cross multiply
122.64x = 183.77 × 84.14 - Step 4: Simplify right side
122.64x = 15,462.41 - Step 5: Solve for x
x = 15,462.41/122.64 - Step 6: Final answer
x = 126.08
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.