Finding the Fourth Proportional to 147,812.49, 203,967.84 and 83,292.23
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Solution
The fourth proportional to 147,812.49, 203,967.84 and 83,292.23 is: 114,935.72
Step by Step Solution
- Step 1: Write the proportion equation
147,812.49 : 203,967.84 = 83,292.23 : x - Step 2: Convert to fraction form
147,812.49/203,967.84 = 83,292.23/x - Step 3: Cross multiply
147,812.49x = 203,967.84 × 83,292.23 - Step 4: Simplify right side
147,812.49x = 16,988,935,222.04 - Step 5: Solve for x
x = 16,988,935,222.04/147,812.49 - Step 6: Final answer
x = 114,935.72
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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.