Finding the Fourth Proportional to 75.82, 113.94 and 73.99
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Solution
The fourth proportional to 75.82, 113.94 and 73.99 is: 111.19
Step by Step Solution
- Step 1: Write the proportion equation
75.82 : 113.94 = 73.99 : x - Step 2: Convert to fraction form
75.82/113.94 = 73.99/x - Step 3: Cross multiply
75.82x = 113.94 × 73.99 - Step 4: Simplify right side
75.82x = 8,430.42 - Step 5: Solve for x
x = 8,430.42/75.82 - Step 6: Final answer
x = 111.19
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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.