Finding the Fourth Proportional to 202,102.24, 278,898.24 and 117,233.68
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Solution
The fourth proportional to 202,102.24, 278,898.24 and 117,233.68 is: 161,780.82
Step by Step Solution
- Step 1: Write the proportion equation
202,102.24 : 278,898.24 = 117,233.68 : x - Step 2: Convert to fraction form
202,102.24/278,898.24 = 117,233.68/x - Step 3: Cross multiply
202,102.24x = 278,898.24 × 117,233.68 - Step 4: Simplify right side
202,102.24x = 32,696,267,020.72 - Step 5: Solve for x
x = 32,696,267,020.72/202,102.24 - Step 6: Final answer
x = 161,780.82
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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.