Finding the Fourth Proportional to 120,214.76, 180,378.84 and 53,648.96
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Solution
The fourth proportional to 120,214.76, 180,378.84 and 53,648.96 is: 80,498.74
Step by Step Solution
- Step 1: Write the proportion equation
120,214.76 : 180,378.84 = 53,648.96 : x - Step 2: Convert to fraction form
120,214.76/180,378.84 = 53,648.96/x - Step 3: Cross multiply
120,214.76x = 180,378.84 × 53,648.96 - Step 4: Simplify right side
120,214.76x = 9,677,137,172.01 - Step 5: Solve for x
x = 9,677,137,172.01/120,214.76 - Step 6: Final answer
x = 80,498.74
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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.