Finding the Fourth Proportional to 97,842.63, 135,023.36 and 55,409.43
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Solution
The fourth proportional to 97,842.63, 135,023.36 and 55,409.43 is: 76,465.31
Step by Step Solution
- Step 1: Write the proportion equation
97,842.63 : 135,023.36 = 55,409.43 : x - Step 2: Convert to fraction form
97,842.63/135,023.36 = 55,409.43/x - Step 3: Cross multiply
97,842.63x = 135,023.36 × 55,409.43 - Step 4: Simplify right side
97,842.63x = 7,481,567,414.28 - Step 5: Solve for x
x = 7,481,567,414.28/97,842.63 - Step 6: Final answer
x = 76,465.31
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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.