Finding the Fourth Proportional to 70,831.36, 106,257.92 and 24,073.28
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Solution
The fourth proportional to 70,831.36, 106,257.92 and 24,073.28 is: 36,113.62
Step by Step Solution
- Step 1: Write the proportion equation
70,831.36 : 106,257.92 = 24,073.28 : x - Step 2: Convert to fraction form
70,831.36/106,257.92 = 24,073.28/x - Step 3: Cross multiply
70,831.36x = 106,257.92 × 24,073.28 - Step 4: Simplify right side
70,831.36x = 2,557,976,660.38 - Step 5: Solve for x
x = 2,557,976,660.38/70,831.36 - Step 6: Final answer
x = 36,113.62
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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.