Finding the Fourth Proportional to 90, 124.16 and 83.09
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Solution
The fourth proportional to 90, 124.16 and 83.09 is: 114.62
Step by Step Solution
- Step 1: Write the proportion equation
90 : 124.16 = 83.09 : x - Step 2: Convert to fraction form
90/124.16 = 83.09/x - Step 3: Cross multiply
90x = 124.16 × 83.09 - Step 4: Simplify right side
90x = 10,315.42 - Step 5: Solve for x
x = 10,315.42/90 - Step 6: Final answer
x = 114.62
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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.