Finding the Fourth Proportional to 106,701.06, 160,048.14 and 31,821.82
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Solution
The fourth proportional to 106,701.06, 160,048.14 and 31,821.82 is: 47,731.70
Step by Step Solution
- Step 1: Write the proportion equation
106,701.06 : 160,048.14 = 31,821.82 : x - Step 2: Convert to fraction form
106,701.06/160,048.14 = 31,821.82/x - Step 3: Cross multiply
106,701.06x = 160,048.14 × 31,821.82 - Step 4: Simplify right side
106,701.06x = 5,093,023,102.41 - Step 5: Solve for x
x = 5,093,023,102.41/106,701.06 - Step 6: Final answer
x = 47,731.70
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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.