Finding the Fourth Proportional to 120,306.36, 180,465.48 and 31,560.06
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Solution
The fourth proportional to 120,306.36, 180,465.48 and 31,560.06 is: 47,341.65
Step by Step Solution
- Step 1: Write the proportion equation
120,306.36 : 180,465.48 = 31,560.06 : x - Step 2: Convert to fraction form
120,306.36/180,465.48 = 31,560.06/x - Step 3: Cross multiply
120,306.36x = 180,465.48 × 31,560.06 - Step 4: Simplify right side
120,306.36x = 5,695,501,376.73 - Step 5: Solve for x
x = 5,695,501,376.73/120,306.36 - Step 6: Final answer
x = 47,341.65
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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.