Finding the Fourth Proportional to 180,198,838.11, 270,298,253.52 and 83,125,825.05
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Solution
The fourth proportional to 180,198,838.11, 270,298,253.52 and 83,125,825.05 is: 124,688,735.89
Step by Step Solution
- Step 1: Write the proportion equation
180,198,838.11 : 270,298,253.52 = 83,125,825.05 : x - Step 2: Convert to fraction form
180,198,838.11/270,298,253.52 = 83,125,825.05/x - Step 3: Cross multiply
180,198,838.11x = 270,298,253.52 × 83,125,825.05 - Step 4: Simplify right side
180,198,838.11x = 22,468,765,333,424,064 - Step 5: Solve for x
x = 22,468,765,333,424,064/180,198,838.11 - Step 6: Final answer
x = 124,688,735.89
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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.