Finding the Fourth Proportional to 81,698.41, 122,555.18 and 31,782.29
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Solution
The fourth proportional to 81,698.41, 122,555.18 and 31,782.29 is: 47,676.38
Step by Step Solution
- Step 1: Write the proportion equation
81,698.41 : 122,555.18 = 31,782.29 : x - Step 2: Convert to fraction form
81,698.41/122,555.18 = 31,782.29/x - Step 3: Cross multiply
81,698.41x = 122,555.18 × 31,782.29 - Step 4: Simplify right side
81,698.41x = 3,895,084,271.76 - Step 5: Solve for x
x = 3,895,084,271.76/81,698.41 - Step 6: Final answer
x = 47,676.38
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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.