Finding the Fourth Proportional to 149,735.92, 206,389.40 and 106,143.08
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Solution
The fourth proportional to 149,735.92, 206,389.40 and 106,143.08 is: 146,302.95
Step by Step Solution
- Step 1: Write the proportion equation
149,735.92 : 206,389.40 = 106,143.08 : x - Step 2: Convert to fraction form
149,735.92/206,389.40 = 106,143.08/x - Step 3: Cross multiply
149,735.92x = 206,389.40 × 106,143.08 - Step 4: Simplify right side
149,735.92x = 21,906,806,595.35 - Step 5: Solve for x
x = 21,906,806,595.35/149,735.92 - Step 6: Final answer
x = 146,302.95
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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.