Finding the Fourth Proportional to 123.16, 170.08 and 83.99
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Solution
The fourth proportional to 123.16, 170.08 and 83.99 is: 115.99
Step by Step Solution
- Step 1: Write the proportion equation
123.16 : 170.08 = 83.99 : x - Step 2: Convert to fraction form
123.16/170.08 = 83.99/x - Step 3: Cross multiply
123.16x = 170.08 × 83.99 - Step 4: Simplify right side
123.16x = 14,284.17 - Step 5: Solve for x
x = 14,284.17/123.16 - Step 6: Final answer
x = 115.99
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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.