Finding the Fourth Proportional to 106,829.74, 160,246.14 and 31,932.28
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Solution
The fourth proportional to 106,829.74, 160,246.14 and 31,932.28 is: 47,898.88
Step by Step Solution
- Step 1: Write the proportion equation
106,829.74 : 160,246.14 = 31,932.28 : x - Step 2: Convert to fraction form
106,829.74/160,246.14 = 31,932.28/x - Step 3: Cross multiply
106,829.74x = 160,246.14 × 31,932.28 - Step 4: Simplify right side
106,829.74x = 5,117,024,611.40 - Step 5: Solve for x
x = 5,117,024,611.40/106,829.74 - Step 6: Final answer
x = 47,898.88
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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.