Finding the Fourth Proportional to 78.06, 117.02 and 34.68
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Solution
The fourth proportional to 78.06, 117.02 and 34.68 is: 51.99
Step by Step Solution
- Step 1: Write the proportion equation
78.06 : 117.02 = 34.68 : x - Step 2: Convert to fraction form
78.06/117.02 = 34.68/x - Step 3: Cross multiply
78.06x = 117.02 × 34.68 - Step 4: Simplify right side
78.06x = 4,058.25 - Step 5: Solve for x
x = 4,058.25/78.06 - Step 6: Final answer
x = 51.99
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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.