Finding the Fourth Proportional to 106,506.84, 159,732.84 and 31,609.26
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Solution
The fourth proportional to 106,506.84, 159,732.84 and 31,609.26 is: 47,405.75
Step by Step Solution
- Step 1: Write the proportion equation
106,506.84 : 159,732.84 = 31,609.26 : x - Step 2: Convert to fraction form
106,506.84/159,732.84 = 31,609.26/x - Step 3: Cross multiply
106,506.84x = 159,732.84 × 31,609.26 - Step 4: Simplify right side
106,506.84x = 5,049,036,870.10 - Step 5: Solve for x
x = 5,049,036,870.10/106,506.84 - Step 6: Final answer
x = 47,405.75
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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.