Finding the Fourth Proportional to 105,918.96, 158,878.35 and 27,033.18
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Solution
The fourth proportional to 105,918.96, 158,878.35 and 27,033.18 is: 40,549.75
Step by Step Solution
- Step 1: Write the proportion equation
105,918.96 : 158,878.35 = 27,033.18 : x - Step 2: Convert to fraction form
105,918.96/158,878.35 = 27,033.18/x - Step 3: Cross multiply
105,918.96x = 158,878.35 × 27,033.18 - Step 4: Simplify right side
105,918.96x = 4,294,987,033.65 - Step 5: Solve for x
x = 4,294,987,033.65/105,918.96 - Step 6: Final answer
x = 40,549.75
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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.