Finding the Fourth Proportional to 208,223,815.80, 312,335,723.70 and 106,187,143.80
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Solution
The fourth proportional to 208,223,815.80, 312,335,723.70 and 106,187,143.80 is: 159,280,715.70
Step by Step Solution
- Step 1: Write the proportion equation
208,223,815.80 : 312,335,723.70 = 106,187,143.80 : x - Step 2: Convert to fraction form
208,223,815.80/312,335,723.70 = 106,187,143.80/x - Step 3: Cross multiply
208,223,815.80x = 312,335,723.70 × 106,187,143.80 - Step 4: Simplify right side
208,223,815.80x = 33,166,038,406,408,964 - Step 5: Solve for x
x = 33,166,038,406,408,964/208,223,815.80 - Step 6: Final answer
x = 159,280,715.70
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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.