Finding the Fourth Proportional to 99,732,830.70, 149,599,246.05 and 31,580,856.30
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Solution
The fourth proportional to 99,732,830.70, 149,599,246.05 and 31,580,856.30 is: 47,371,284.45
Step by Step Solution
- Step 1: Write the proportion equation
99,732,830.70 : 149,599,246.05 = 31,580,856.30 : x - Step 2: Convert to fraction form
99,732,830.70/149,599,246.05 = 31,580,856.30/x - Step 3: Cross multiply
99,732,830.70x = 149,599,246.05 × 31,580,856.30 - Step 4: Simplify right side
99,732,830.70x = 4,724,472,292,093,393 - Step 5: Solve for x
x = 4,724,472,292,093,393/99,732,830.70 - Step 6: Final answer
x = 47,371,284.45
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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.