Finding the Fourth Proportional to 189,752,202.24, 261,858,263.12 and 102,832,074.24
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Solution
The fourth proportional to 189,752,202.24, 261,858,263.12 and 102,832,074.24 is: 141,908,383.86
Step by Step Solution
- Step 1: Write the proportion equation
189,752,202.24 : 261,858,263.12 = 102,832,074.24 : x - Step 2: Convert to fraction form
189,752,202.24/261,858,263.12 = 102,832,074.24/x - Step 3: Cross multiply
189,752,202.24x = 261,858,263.12 × 102,832,074.24 - Step 4: Simplify right side
189,752,202.24x = 26,927,428,353,513,292 - Step 5: Solve for x
x = 26,927,428,353,513,292/189,752,202.24 - Step 6: Final answer
x = 141,908,383.86
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1.5x scale
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.