Finding the Fourth Proportional to 103.50, 142.86 and 78.99
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Solution
The fourth proportional to 103.50, 142.86 and 78.99 is: 109.03
Step by Step Solution
- Step 1: Write the proportion equation
103.50 : 142.86 = 78.99 : x - Step 2: Convert to fraction form
103.50/142.86 = 78.99/x - Step 3: Cross multiply
103.50x = 142.86 × 78.99 - Step 4: Simplify right side
103.50x = 11,284.51 - Step 5: Solve for x
x = 11,284.51/103.50 - Step 6: Final answer
x = 109.03
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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.