Finding the Fourth Proportional to 77,922.09, 107,524.71 and 47,715.98
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Solution
The fourth proportional to 77,922.09, 107,524.71 and 47,715.98 is: 65,843.28
Step by Step Solution
- Step 1: Write the proportion equation
77,922.09 : 107,524.71 = 47,715.98 : x - Step 2: Convert to fraction form
77,922.09/107,524.71 = 47,715.98/x - Step 3: Cross multiply
77,922.09x = 107,524.71 × 47,715.98 - Step 4: Simplify right side
77,922.09x = 5,130,646,374.24 - Step 5: Solve for x
x = 5,130,646,374.24/77,922.09 - Step 6: Final answer
x = 65,843.28
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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.