Finding the Fourth Proportional to 81,350.84, 122,044.80 and 31,431.08
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Solution
The fourth proportional to 81,350.84, 122,044.80 and 31,431.08 is: 47,153.78
Step by Step Solution
- Step 1: Write the proportion equation
81,350.84 : 122,044.80 = 31,431.08 : x - Step 2: Convert to fraction form
81,350.84/122,044.80 = 31,431.08/x - Step 3: Cross multiply
81,350.84x = 122,044.80 × 31,431.08 - Step 4: Simplify right side
81,350.84x = 3,835,999,872.38 - Step 5: Solve for x
x = 3,835,999,872.38/81,350.84 - Step 6: Final answer
x = 47,153.78
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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.