Finding the Fourth Proportional to 105.24, 157.62 and 78.42
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Solution
The fourth proportional to 105.24, 157.62 and 78.42 is: 117.45
Step by Step Solution
- Step 1: Write the proportion equation
105.24 : 157.62 = 78.42 : x - Step 2: Convert to fraction form
105.24/157.62 = 78.42/x - Step 3: Cross multiply
105.24x = 157.62 × 78.42 - Step 4: Simplify right side
105.24x = 12,360.56 - Step 5: Solve for x
x = 12,360.56/105.24 - Step 6: Final answer
x = 117.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.