Finding the Fourth Proportional to 106,289,000.70, 159,433,501.05 and 97,219,074.30
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Solution
The fourth proportional to 106,289,000.70, 159,433,501.05 and 97,219,074.30 is: 145,828,611.45
Step by Step Solution
- Step 1: Write the proportion equation
106,289,000.70 : 159,433,501.05 = 97,219,074.30 : x - Step 2: Convert to fraction form
106,289,000.70/159,433,501.05 = 97,219,074.30/x - Step 3: Cross multiply
106,289,000.70x = 159,433,501.05 × 97,219,074.30 - Step 4: Simplify right side
106,289,000.70x = 15,499,977,384,489,078 - Step 5: Solve for x
x = 15,499,977,384,489,078/106,289,000.70 - Step 6: Final answer
x = 145,828,611.45
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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.