Finding the Fourth Proportional to 76,763.58, 105,977.70 and 51,313.06
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Solution
The fourth proportional to 76,763.58, 105,977.70 and 51,313.06 is: 70,841.40
Step by Step Solution
- Step 1: Write the proportion equation
76,763.58 : 105,977.70 = 51,313.06 : x - Step 2: Convert to fraction form
76,763.58/105,977.70 = 51,313.06/x - Step 3: Cross multiply
76,763.58x = 105,977.70 × 51,313.06 - Step 4: Simplify right side
76,763.58x = 5,438,039,292.31 - Step 5: Solve for x
x = 5,438,039,292.31/76,763.58 - Step 6: Final answer
x = 70,841.40
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.