Finding the Fourth Proportional to 83,707.84, 115,523.97 and 47,415.77
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Solution
The fourth proportional to 83,707.84, 115,523.97 and 47,415.77 is: 65,437.80
Step by Step Solution
- Step 1: Write the proportion equation
83,707.84 : 115,523.97 = 47,415.77 : x - Step 2: Convert to fraction form
83,707.84/115,523.97 = 47,415.77/x - Step 3: Cross multiply
83,707.84x = 115,523.97 × 47,415.77 - Step 4: Simplify right side
83,707.84x = 5,477,657,176.31 - Step 5: Solve for x
x = 5,477,657,176.31/83,707.84 - Step 6: Final answer
x = 65,437.80
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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.