Finding the Fourth Proportional to 75,953.14, 113,938.80 and 31,609.87
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Solution
The fourth proportional to 75,953.14, 113,938.80 and 31,609.87 is: 47,418.59
Step by Step Solution
- Step 1: Write the proportion equation
75,953.14 : 113,938.80 = 31,609.87 : x - Step 2: Convert to fraction form
75,953.14/113,938.80 = 31,609.87/x - Step 3: Cross multiply
75,953.14x = 113,938.80 × 31,609.87 - Step 4: Simplify right side
75,953.14x = 3,601,590,655.96 - Step 5: Solve for x
x = 3,601,590,655.96/75,953.14 - Step 6: Final answer
x = 47,418.59
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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.