Finding the Fourth Proportional to 84,286.16, 126,351.12 and 31,730.48
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Solution
The fourth proportional to 84,286.16, 126,351.12 and 31,730.48 is: 47,566.31
Step by Step Solution
- Step 1: Write the proportion equation
84,286.16 : 126,351.12 = 31,730.48 : x - Step 2: Convert to fraction form
84,286.16/126,351.12 = 31,730.48/x - Step 3: Cross multiply
84,286.16x = 126,351.12 × 31,730.48 - Step 4: Simplify right side
84,286.16x = 4,009,181,686.14 - Step 5: Solve for x
x = 4,009,181,686.14/84,286.16 - Step 6: Final answer
x = 47,566.31
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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.