Finding the Fourth Proportional to 77,184.12, 115,831.58 and 32,842.02
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Solution
The fourth proportional to 77,184.12, 115,831.58 and 32,842.02 is: 49,286.60
Step by Step Solution
- Step 1: Write the proportion equation
77,184.12 : 115,831.58 = 32,842.02 : x - Step 2: Convert to fraction form
77,184.12/115,831.58 = 32,842.02/x - Step 3: Cross multiply
77,184.12x = 115,831.58 × 32,842.02 - Step 4: Simplify right side
77,184.12x = 3,804,142,902.78 - Step 5: Solve for x
x = 3,804,142,902.78/77,184.12 - Step 6: Final answer
x = 49,286.60
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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.