Finding the Fourth Proportional to 129.64, 194.16 and 74.70
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Solution
The fourth proportional to 129.64, 194.16 and 74.70 is: 111.88
Step by Step Solution
- Step 1: Write the proportion equation
129.64 : 194.16 = 74.70 : x - Step 2: Convert to fraction form
129.64/194.16 = 74.70/x - Step 3: Cross multiply
129.64x = 194.16 × 74.70 - Step 4: Simplify right side
129.64x = 14,503.75 - Step 5: Solve for x
x = 14,503.75/129.64 - Step 6: Final answer
x = 111.88
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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.