Finding the Fourth Proportional to 199,126.20, 274,831.74 and 114,298.68
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Solution
The fourth proportional to 199,126.20, 274,831.74 and 114,298.68 is: 157,753.75
Step by Step Solution
- Step 1: Write the proportion equation
199,126.20 : 274,831.74 = 114,298.68 : x - Step 2: Convert to fraction form
199,126.20/274,831.74 = 114,298.68/x - Step 3: Cross multiply
199,126.20x = 274,831.74 × 114,298.68 - Step 4: Simplify right side
199,126.20x = 31,412,905,104.10 - Step 5: Solve for x
x = 31,412,905,104.10/199,126.20 - Step 6: Final answer
x = 157,753.75
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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.