Finding the Fourth Proportional to 106,446.39, 159,642.36 and 31,549.08
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Solution
The fourth proportional to 106,446.39, 159,642.36 and 31,549.08 is: 47,315.55
Step by Step Solution
- Step 1: Write the proportion equation
106,446.39 : 159,642.36 = 31,549.08 : x - Step 2: Convert to fraction form
106,446.39/159,642.36 = 31,549.08/x - Step 3: Cross multiply
106,446.39x = 159,642.36 × 31,549.08 - Step 4: Simplify right side
106,446.39x = 5,036,569,587.03 - Step 5: Solve for x
x = 5,036,569,587.03/106,446.39 - Step 6: Final answer
x = 47,315.55
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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.