Finding the Fourth Proportional to 98,142.66, 147,214.02 and 31,587.99
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Solution
The fourth proportional to 98,142.66, 147,214.02 and 31,587.99 is: 47,381.99
Step by Step Solution
- Step 1: Write the proportion equation
98,142.66 : 147,214.02 = 31,587.99 : x - Step 2: Convert to fraction form
98,142.66/147,214.02 = 31,587.99/x - Step 3: Cross multiply
98,142.66x = 147,214.02 × 31,587.99 - Step 4: Simplify right side
98,142.66x = 4,650,194,991.62 - Step 5: Solve for x
x = 4,650,194,991.62/98,142.66 - Step 6: Final answer
x = 47,381.99
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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.