Finding the Fourth Proportional to 106,584.16, 159,939.60 and 47,423.20
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Solution
The fourth proportional to 106,584.16, 159,939.60 and 47,423.20 is: 71,162.99
Step by Step Solution
- Step 1: Write the proportion equation
106,584.16 : 159,939.60 = 47,423.20 : x - Step 2: Convert to fraction form
106,584.16/159,939.60 = 47,423.20/x - Step 3: Cross multiply
106,584.16x = 159,939.60 × 47,423.20 - Step 4: Simplify right side
106,584.16x = 7,584,847,638.72 - Step 5: Solve for x
x = 7,584,847,638.72/106,584.16 - Step 6: Final answer
x = 71,162.99
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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.