Finding the Fourth Proportional to 81.74, 122.56 and 73.19
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Solution
The fourth proportional to 81.74, 122.56 and 73.19 is: 109.74
Step by Step Solution
- Step 1: Write the proportion equation
81.74 : 122.56 = 73.19 : x - Step 2: Convert to fraction form
81.74/122.56 = 73.19/x - Step 3: Cross multiply
81.74x = 122.56 × 73.19 - Step 4: Simplify right side
81.74x = 8,970.29 - Step 5: Solve for x
x = 8,970.29/81.74 - Step 6: Final answer
x = 109.74
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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.