Finding the Fourth Proportional to 78.05, 117 and 49.09
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Solution
The fourth proportional to 78.05, 117 and 49.09 is: 73.59
Step by Step Solution
- Step 1: Write the proportion equation
78.05 : 117 = 49.09 : x - Step 2: Convert to fraction form
78.05/117 = 49.09/x - Step 3: Cross multiply
78.05x = 117 × 49.09 - Step 4: Simplify right side
78.05x = 5,743.53 - Step 5: Solve for x
x = 5,743.53/78.05 - Step 6: Final answer
x = 73.59
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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.