Finding the Fourth Proportional to 106,203.70, 159,305.36 and 31,376.41
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Solution
The fourth proportional to 106,203.70, 159,305.36 and 31,376.41 is: 47,064.55
Step by Step Solution
- Step 1: Write the proportion equation
106,203.70 : 159,305.36 = 31,376.41 : x - Step 2: Convert to fraction form
106,203.70/159,305.36 = 31,376.41/x - Step 3: Cross multiply
106,203.70x = 159,305.36 × 31,376.41 - Step 4: Simplify right side
106,203.70x = 4,998,429,973.76 - Step 5: Solve for x
x = 4,998,429,973.76/106,203.70 - Step 6: Final answer
x = 47,064.55
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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.