Finding the Fourth Proportional to 106,314.84, 159,416.91 and 39,700.19
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Solution
The fourth proportional to 106,314.84, 159,416.91 and 39,700.19 is: 59,529.62
Step by Step Solution
- Step 1: Write the proportion equation
106,314.84 : 159,416.91 = 39,700.19 : x - Step 2: Convert to fraction form
106,314.84/159,416.91 = 39,700.19/x - Step 3: Cross multiply
106,314.84x = 159,416.91 × 39,700.19 - Step 4: Simplify right side
106,314.84x = 6,328,881,616.21 - Step 5: Solve for x
x = 6,328,881,616.21/106,314.84 - Step 6: Final answer
x = 59,529.62
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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.