Finding the Fourth Proportional to 84.07, 125.93 and 77.74
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Solution
The fourth proportional to 84.07, 125.93 and 77.74 is: 116.44
Step by Step Solution
- Step 1: Write the proportion equation
84.07 : 125.93 = 77.74 : x - Step 2: Convert to fraction form
84.07/125.93 = 77.74/x - Step 3: Cross multiply
84.07x = 125.93 × 77.74 - Step 4: Simplify right side
84.07x = 9,789.41 - Step 5: Solve for x
x = 9,789.41/84.07 - Step 6: Final answer
x = 116.44
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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.