Finding the Fourth Proportional to 106,101.64, 159,151.74 and 27,215.92
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Solution
The fourth proportional to 106,101.64, 159,151.74 and 27,215.92 is: 40,823.70
Step by Step Solution
- Step 1: Write the proportion equation
106,101.64 : 159,151.74 = 27,215.92 : x - Step 2: Convert to fraction form
106,101.64/159,151.74 = 27,215.92/x - Step 3: Cross multiply
106,101.64x = 159,151.74 × 27,215.92 - Step 4: Simplify right side
106,101.64x = 4,331,461,023.70 - Step 5: Solve for x
x = 4,331,461,023.70/106,101.64 - Step 6: Final answer
x = 40,823.70
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1.5x scale
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.