Finding the Fourth Proportional to 106,289,107.20, 159,433,660.80 and 97,219,180.80
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Solution
The fourth proportional to 106,289,107.20, 159,433,660.80 and 97,219,180.80 is: 145,828,771.20
Step by Step Solution
- Step 1: Write the proportion equation
106,289,107.20 : 159,433,660.80 = 97,219,180.80 : x - Step 2: Convert to fraction form
106,289,107.20/159,433,660.80 = 97,219,180.80/x - Step 3: Cross multiply
106,289,107.20x = 159,433,660.80 × 97,219,180.80 - Step 4: Simplify right side
106,289,107.20x = 15,500,009,894,921,074 - Step 5: Solve for x
x = 15,500,009,894,921,074/106,289,107.20 - Step 6: Final answer
x = 145,828,771.20
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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.