Finding the Fourth Proportional to 83.08, 123.80 and 77.68
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Solution
The fourth proportional to 83.08, 123.80 and 77.68 is: 115.75
Step by Step Solution
- Step 1: Write the proportion equation
83.08 : 123.80 = 77.68 : x - Step 2: Convert to fraction form
83.08/123.80 = 77.68/x - Step 3: Cross multiply
83.08x = 123.80 × 77.68 - Step 4: Simplify right side
83.08x = 9,616.78 - Step 5: Solve for x
x = 9,616.78/83.08 - Step 6: Final answer
x = 115.75
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.