Finding the Fourth Proportional to 149,114,938.24, 205,771,995.84 and 83,038,844.80
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Solution
The fourth proportional to 149,114,938.24, 205,771,995.84 and 83,038,844.80 is: 114,589,919.89
Step by Step Solution
- Step 1: Write the proportion equation
149,114,938.24 : 205,771,995.84 = 83,038,844.80 : x - Step 2: Convert to fraction form
149,114,938.24/205,771,995.84 = 83,038,844.80/x - Step 3: Cross multiply
149,114,938.24x = 205,771,995.84 × 83,038,844.80 - Step 4: Simplify right side
149,114,938.24x = 17,087,068,826,744,006 - Step 5: Solve for x
x = 17,087,068,826,744,006/149,114,938.24 - Step 6: Final answer
x = 114,589,919.89
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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.