Finding the Fourth Proportional to 106,315.84, 159,476.83 and 27,430.06
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Solution
The fourth proportional to 106,315.84, 159,476.83 and 27,430.06 is: 41,145.88
Step by Step Solution
- Step 1: Write the proportion equation
106,315.84 : 159,476.83 = 27,430.06 : x - Step 2: Convert to fraction form
106,315.84/159,476.83 = 27,430.06/x - Step 3: Cross multiply
106,315.84x = 159,476.83 × 27,430.06 - Step 4: Simplify right side
106,315.84x = 4,374,459,015.51 - Step 5: Solve for x
x = 4,374,459,015.51/106,315.84 - Step 6: Final answer
x = 41,145.88
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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.