Finding the Fourth Proportional to 75,834.12, 113,702.46 and 31,491.48
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Solution
The fourth proportional to 75,834.12, 113,702.46 and 31,491.48 is: 47,216.99
Step by Step Solution
- Step 1: Write the proportion equation
75,834.12 : 113,702.46 = 31,491.48 : x - Step 2: Convert to fraction form
75,834.12/113,702.46 = 31,491.48/x - Step 3: Cross multiply
75,834.12x = 113,702.46 × 31,491.48 - Step 4: Simplify right side
75,834.12x = 3,580,658,745.04 - Step 5: Solve for x
x = 3,580,658,745.04/75,834.12 - Step 6: Final answer
x = 47,216.99
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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.