Finding the Fourth Proportional to 76,678.26, 105,820.84 and 46,466.23
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Solution
The fourth proportional to 76,678.26, 105,820.84 and 46,466.23 is: 64,126.33
Step by Step Solution
- Step 1: Write the proportion equation
76,678.26 : 105,820.84 = 46,466.23 : x - Step 2: Convert to fraction form
76,678.26/105,820.84 = 46,466.23/x - Step 3: Cross multiply
76,678.26x = 105,820.84 × 46,466.23 - Step 4: Simplify right side
76,678.26x = 4,917,095,490.23 - Step 5: Solve for x
x = 4,917,095,490.23/76,678.26 - Step 6: Final answer
x = 64,126.33
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1.5x scale
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.