Finding the Fourth Proportional to 146,206.26, 201,770.88 and 85,823.19
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Solution
The fourth proportional to 146,206.26, 201,770.88 and 85,823.19 is: 118,439.67
Step by Step Solution
- Step 1: Write the proportion equation
146,206.26 : 201,770.88 = 85,823.19 : x - Step 2: Convert to fraction form
146,206.26/201,770.88 = 85,823.19/x - Step 3: Cross multiply
146,206.26x = 201,770.88 × 85,823.19 - Step 4: Simplify right side
146,206.26x = 17,316,620,570.71 - Step 5: Solve for x
x = 17,316,620,570.71/146,206.26 - Step 6: Final answer
x = 118,439.67
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.