Finding the Fourth Proportional to 78.42, 108.18 and 52.50
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Solution
The fourth proportional to 78.42, 108.18 and 52.50 is: 72.42
Step by Step Solution
- Step 1: Write the proportion equation
78.42 : 108.18 = 52.50 : x - Step 2: Convert to fraction form
78.42/108.18 = 52.50/x - Step 3: Cross multiply
78.42x = 108.18 × 52.50 - Step 4: Simplify right side
78.42x = 5,679.45 - Step 5: Solve for x
x = 5,679.45/78.42 - Step 6: Final answer
x = 72.42
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.