Finding the Fourth Proportional to 54,178,827.84, 74,762,900.64 and 30,974,932.80
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Solution
The fourth proportional to 54,178,827.84, 74,762,900.64 and 30,974,932.80 is: 42,743,187.99
Step by Step Solution
- Step 1: Write the proportion equation
54,178,827.84 : 74,762,900.64 = 30,974,932.80 : x - Step 2: Convert to fraction form
54,178,827.84/74,762,900.64 = 30,974,932.80/x - Step 3: Cross multiply
54,178,827.84x = 74,762,900.64 × 30,974,932.80 - Step 4: Simplify right side
54,178,827.84x = 2,315,775,823,257,077 - Step 5: Solve for x
x = 2,315,775,823,257,077/54,178,827.84 - Step 6: Final answer
x = 42,743,187.99
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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.