Finding the Fourth Proportional to 97,842.13, 135,022.67 and 55,408.93
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Solution
The fourth proportional to 97,842.13, 135,022.67 and 55,408.93 is: 76,464.62
Step by Step Solution
- Step 1: Write the proportion equation
97,842.13 : 135,022.67 = 55,408.93 : x - Step 2: Convert to fraction form
97,842.13/135,022.67 = 55,408.93/x - Step 3: Cross multiply
97,842.13x = 135,022.67 × 55,408.93 - Step 4: Simplify right side
97,842.13x = 7,481,461,670.44 - Step 5: Solve for x
x = 7,481,461,670.44/97,842.13 - Step 6: Final answer
x = 76,464.62
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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.