Finding the Fourth Proportional to 106,283,438.40, 159,324,847.20 and 57,689,659.20
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Solution
The fourth proportional to 106,283,438.40, 159,324,847.20 and 57,689,659.20 is: 86,480,041.25
Step by Step Solution
- Step 1: Write the proportion equation
106,283,438.40 : 159,324,847.20 = 57,689,659.20 : x - Step 2: Convert to fraction form
106,283,438.40/159,324,847.20 = 57,689,659.20/x - Step 3: Cross multiply
106,283,438.40x = 159,324,847.20 × 57,689,659.20 - Step 4: Simplify right side
106,283,438.40x = 9,191,396,137,060,074 - Step 5: Solve for x
x = 9,191,396,137,060,074/106,283,438.40 - Step 6: Final answer
x = 86,480,041.25
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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.