Finding the Fourth Proportional to 190,714.23, 263,193.84 and 105,831.30
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Solution
The fourth proportional to 190,714.23, 263,193.84 and 105,831.30 is: 146,051.75
Step by Step Solution
- Step 1: Write the proportion equation
190,714.23 : 263,193.84 = 105,831.30 : x - Step 2: Convert to fraction form
190,714.23/263,193.84 = 105,831.30/x - Step 3: Cross multiply
190,714.23x = 263,193.84 × 105,831.30 - Step 4: Simplify right side
190,714.23x = 27,854,146,239.19 - Step 5: Solve for x
x = 27,854,146,239.19/190,714.23 - Step 6: Final answer
x = 146,051.75
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.