Finding the Fourth Proportional to 75,817.42, 104,622.17 and 41,827.19
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Solution
The fourth proportional to 75,817.42, 104,622.17 and 41,827.19 is: 57,718.28
Step by Step Solution
- Step 1: Write the proportion equation
75,817.42 : 104,622.17 = 41,827.19 : x - Step 2: Convert to fraction form
75,817.42/104,622.17 = 41,827.19/x - Step 3: Cross multiply
75,817.42x = 104,622.17 × 41,827.19 - Step 4: Simplify right side
75,817.42x = 4,376,050,650.56 - Step 5: Solve for x
x = 4,376,050,650.56/75,817.42 - Step 6: Final answer
x = 57,718.28
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1.5x scale
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.