Finding the Fourth Proportional to 129.06, 193.77 and 75
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Solution
The fourth proportional to 129.06, 193.77 and 75 is: 112.60
Step by Step Solution
- Step 1: Write the proportion equation
129.06 : 193.77 = 75 : x - Step 2: Convert to fraction form
129.06/193.77 = 75/x - Step 3: Cross multiply
129.06x = 193.77 × 75 - Step 4: Simplify right side
129.06x = 14,532.75 - Step 5: Solve for x
x = 14,532.75/129.06 - Step 6: Final answer
x = 112.60
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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.