Finding the Fourth Proportional to 81,724.80, 122,593.36 and 31,783.44
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Solution
The fourth proportional to 81,724.80, 122,593.36 and 31,783.44 is: 47,677.56
Step by Step Solution
- Step 1: Write the proportion equation
81,724.80 : 122,593.36 = 31,783.44 : x - Step 2: Convert to fraction form
81,724.80/122,593.36 = 31,783.44/x - Step 3: Cross multiply
81,724.80x = 122,593.36 × 31,783.44 - Step 4: Simplify right side
81,724.80x = 3,896,438,701.96 - Step 5: Solve for x
x = 3,896,438,701.96/81,724.80 - Step 6: Final answer
x = 47,677.56
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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.