Finding the Fourth Proportional to 129.84, 194.64 and 75.68
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Solution
The fourth proportional to 129.84, 194.64 and 75.68 is: 113.45
Step by Step Solution
- Step 1: Write the proportion equation
129.84 : 194.64 = 75.68 : x - Step 2: Convert to fraction form
129.84/194.64 = 75.68/x - Step 3: Cross multiply
129.84x = 194.64 × 75.68 - Step 4: Simplify right side
129.84x = 14,730.36 - Step 5: Solve for x
x = 14,730.36/129.84 - Step 6: Final answer
x = 113.45
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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.