Finding the Fourth Proportional to 196,101,101.70, 294,151,652.55 and 130,344,135.30
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Solution
The fourth proportional to 196,101,101.70, 294,151,652.55 and 130,344,135.30 is: 195,516,202.95
Step by Step Solution
- Step 1: Write the proportion equation
196,101,101.70 : 294,151,652.55 = 130,344,135.30 : x - Step 2: Convert to fraction form
196,101,101.70/294,151,652.55 = 130,344,135.30/x - Step 3: Cross multiply
196,101,101.70x = 294,151,652.55 × 130,344,135.30 - Step 4: Simplify right side
196,101,101.70x = 38,340,942,798,695,792 - Step 5: Solve for x
x = 38,340,942,798,695,792/196,101,101.70 - Step 6: Final answer
x = 195,516,202.95
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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.