Finding the Fourth Proportional to 75,871.38, 113,794.30 and 27,830.08
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Solution
The fourth proportional to 75,871.38, 113,794.30 and 27,830.08 is: 41,740.44
Step by Step Solution
- Step 1: Write the proportion equation
75,871.38 : 113,794.30 = 27,830.08 : x - Step 2: Convert to fraction form
75,871.38/113,794.30 = 27,830.08/x - Step 3: Cross multiply
75,871.38x = 113,794.30 × 27,830.08 - Step 4: Simplify right side
75,871.38x = 3,166,904,649.57 - Step 5: Solve for x
x = 3,166,904,649.57/75,871.38 - Step 6: Final answer
x = 41,740.44
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.