Finding the Fourth Proportional to 109,955.24, 164,943.68 and 31,070.08
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Solution
The fourth proportional to 109,955.24, 164,943.68 and 31,070.08 is: 46,608.18
Step by Step Solution
- Step 1: Write the proportion equation
109,955.24 : 164,943.68 = 31,070.08 : x - Step 2: Convert to fraction form
109,955.24/164,943.68 = 31,070.08/x - Step 3: Cross multiply
109,955.24x = 164,943.68 × 31,070.08 - Step 4: Simplify right side
109,955.24x = 5,124,813,333.09 - Step 5: Solve for x
x = 5,124,813,333.09/109,955.24 - Step 6: Final answer
x = 46,608.18
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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.