Finding the Fourth Proportional to 81.99, 122.99 and 51.62
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Solution
The fourth proportional to 81.99, 122.99 and 51.62 is: 77.42
Step by Step Solution
- Step 1: Write the proportion equation
81.99 : 122.99 = 51.62 : x - Step 2: Convert to fraction form
81.99/122.99 = 51.62/x - Step 3: Cross multiply
81.99x = 122.99 × 51.62 - Step 4: Simplify right side
81.99x = 6,347.87 - Step 5: Solve for x
x = 6,347.87/81.99 - Step 6: Final answer
x = 77.42
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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.