Finding the Fourth Proportional to 189,592,257.24, 261,624,099.82 and 107,070,098.76
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Solution
The fourth proportional to 189,592,257.24, 261,624,099.82 and 107,070,098.76 is: 147,749,273.17
Step by Step Solution
- Step 1: Write the proportion equation
189,592,257.24 : 261,624,099.82 = 107,070,098.76 : x - Step 2: Convert to fraction form
189,592,257.24/261,624,099.82 = 107,070,098.76/x - Step 3: Cross multiply
189,592,257.24x = 261,624,099.82 × 107,070,098.76 - Step 4: Simplify right side
189,592,257.24x = 28,012,118,205,723,500 - Step 5: Solve for x
x = 28,012,118,205,723,500/189,592,257.24 - Step 6: Final answer
x = 147,749,273.17
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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.