Finding the Fourth Proportional to 123.64, 185.51 and 74.99
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Solution
The fourth proportional to 123.64, 185.51 and 74.99 is: 112.52
Step by Step Solution
- Step 1: Write the proportion equation
123.64 : 185.51 = 74.99 : x - Step 2: Convert to fraction form
123.64/185.51 = 74.99/x - Step 3: Cross multiply
123.64x = 185.51 × 74.99 - Step 4: Simplify right side
123.64x = 13,911.39 - Step 5: Solve for x
x = 13,911.39/123.64 - Step 6: Final answer
x = 112.52
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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.