Finding the Fourth Proportional to 120,447.19, 180,656.81 and 31,707.62
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Solution
The fourth proportional to 120,447.19, 180,656.81 and 31,707.62 is: 47,557.75
Step by Step Solution
- Step 1: Write the proportion equation
120,447.19 : 180,656.81 = 31,707.62 : x - Step 2: Convert to fraction form
120,447.19/180,656.81 = 31,707.62/x - Step 3: Cross multiply
120,447.19x = 180,656.81 × 31,707.62 - Step 4: Simplify right side
120,447.19x = 5,728,197,481.89 - Step 5: Solve for x
x = 5,728,197,481.89/120,447.19 - Step 6: Final answer
x = 47,557.75
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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.