Finding the Fourth Proportional to 106,214.13, 159,266.34 and 31,324.77
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Solution
The fourth proportional to 106,214.13, 159,266.34 and 31,324.77 is: 46,970.98
Step by Step Solution
- Step 1: Write the proportion equation
106,214.13 : 159,266.34 = 31,324.77 : x - Step 2: Convert to fraction form
106,214.13/159,266.34 = 31,324.77/x - Step 3: Cross multiply
106,214.13x = 159,266.34 × 31,324.77 - Step 4: Simplify right side
106,214.13x = 4,988,981,469.24 - Step 5: Solve for x
x = 4,988,981,469.24/106,214.13 - Step 6: Final answer
x = 46,970.98
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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.