Finding the Fourth Proportional to 76.89, 106.11 and 47.82
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Solution
The fourth proportional to 76.89, 106.11 and 47.82 is: 65.99
Step by Step Solution
- Step 1: Write the proportion equation
76.89 : 106.11 = 47.82 : x - Step 2: Convert to fraction form
76.89/106.11 = 47.82/x - Step 3: Cross multiply
76.89x = 106.11 × 47.82 - Step 4: Simplify right side
76.89x = 5,074.18 - Step 5: Solve for x
x = 5,074.18/76.89 - Step 6: Final answer
x = 65.99
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.