Finding the Fourth Proportional to 102,214.74, 153,311.32 and 27,342.44
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Solution
The fourth proportional to 102,214.74, 153,311.32 and 27,342.44 is: 41,010.77
Step by Step Solution
- Step 1: Write the proportion equation
102,214.74 : 153,311.32 = 27,342.44 : x - Step 2: Convert to fraction form
102,214.74/153,311.32 = 27,342.44/x - Step 3: Cross multiply
102,214.74x = 153,311.32 × 27,342.44 - Step 4: Simplify right side
102,214.74x = 4,191,905,568.42 - Step 5: Solve for x
x = 4,191,905,568.42/102,214.74 - Step 6: Final answer
x = 41,010.77
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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.