Finding the Fourth Proportional to 163,008.96, 224,983.80 and 106,321.92
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Solution
The fourth proportional to 163,008.96, 224,983.80 and 106,321.92 is: 146,744.75
Step by Step Solution
- Step 1: Write the proportion equation
163,008.96 : 224,983.80 = 106,321.92 : x - Step 2: Convert to fraction form
163,008.96/224,983.80 = 106,321.92/x - Step 3: Cross multiply
163,008.96x = 224,983.80 × 106,321.92 - Step 4: Simplify right side
163,008.96x = 23,920,709,584.90 - Step 5: Solve for x
x = 23,920,709,584.90/163,008.96 - Step 6: Final answer
x = 146,744.75
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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.