Finding the Fourth Proportional to 129.91, 195.09 and 76.14
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Solution
The fourth proportional to 129.91, 195.09 and 76.14 is: 114.34
Step by Step Solution
- Step 1: Write the proportion equation
129.91 : 195.09 = 76.14 : x - Step 2: Convert to fraction form
129.91/195.09 = 76.14/x - Step 3: Cross multiply
129.91x = 195.09 × 76.14 - Step 4: Simplify right side
129.91x = 14,854.15 - Step 5: Solve for x
x = 14,854.15/129.91 - Step 6: Final answer
x = 114.34
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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.