Finding the Fourth Proportional to 75,821.12, 113,683.02 and 31,478.48
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Solution
The fourth proportional to 75,821.12, 113,683.02 and 31,478.48 is: 47,197.52
Step by Step Solution
- Step 1: Write the proportion equation
75,821.12 : 113,683.02 = 31,478.48 : x - Step 2: Convert to fraction form
75,821.12/113,683.02 = 31,478.48/x - Step 3: Cross multiply
75,821.12x = 113,683.02 × 31,478.48 - Step 4: Simplify right side
75,821.12x = 3,578,568,671.41 - Step 5: Solve for x
x = 3,578,568,671.41/75,821.12 - Step 6: Final answer
x = 47,197.52
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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.