Finding the Fourth Proportional to 120,470.74, 180,714.98 and 31,723.62
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Solution
The fourth proportional to 120,470.74, 180,714.98 and 31,723.62 is: 47,587.77
Step by Step Solution
- Step 1: Write the proportion equation
120,470.74 : 180,714.98 = 31,723.62 : x - Step 2: Convert to fraction form
120,470.74/180,714.98 = 31,723.62/x - Step 3: Cross multiply
120,470.74x = 180,714.98 × 31,723.62 - Step 4: Simplify right side
120,470.74x = 5,732,933,353.83 - Step 5: Solve for x
x = 5,732,933,353.83/120,470.74 - Step 6: Final answer
x = 47,587.77
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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.