Finding the Fourth Proportional to 75,685.26, 113,549.76 and 31,303.74
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Solution
The fourth proportional to 75,685.26, 113,549.76 and 31,303.74 is: 46,964.66
Step by Step Solution
- Step 1: Write the proportion equation
75,685.26 : 113,549.76 = 31,303.74 : x - Step 2: Convert to fraction form
75,685.26/113,549.76 = 31,303.74/x - Step 3: Cross multiply
75,685.26x = 113,549.76 × 31,303.74 - Step 4: Simplify right side
75,685.26x = 3,554,532,164.10 - Step 5: Solve for x
x = 3,554,532,164.10/75,685.26 - Step 6: Final answer
x = 46,964.66
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1.5x scale
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.