Finding the Fourth Proportional to 106,135.84, 159,203.92 and 31,256.88
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Solution
The fourth proportional to 106,135.84, 159,203.92 and 31,256.88 is: 46,885.37
Step by Step Solution
- Step 1: Write the proportion equation
106,135.84 : 159,203.92 = 31,256.88 : x - Step 2: Convert to fraction form
106,135.84/159,203.92 = 31,256.88/x - Step 3: Cross multiply
106,135.84x = 159,203.92 × 31,256.88 - Step 4: Simplify right side
106,135.84x = 4,976,217,822.97 - Step 5: Solve for x
x = 4,976,217,822.97/106,135.84 - Step 6: Final answer
x = 46,885.37
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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.