Finding the Fourth Proportional to 75,830.95, 113,816.24 and 38,417.05
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Solution
The fourth proportional to 75,830.95, 113,816.24 and 38,417.05 is: 57,660.94
Step by Step Solution
- Step 1: Write the proportion equation
75,830.95 : 113,816.24 = 38,417.05 : x - Step 2: Convert to fraction form
75,830.95/113,816.24 = 38,417.05/x - Step 3: Cross multiply
75,830.95x = 113,816.24 × 38,417.05 - Step 4: Simplify right side
75,830.95x = 4,372,484,277.14 - Step 5: Solve for x
x = 4,372,484,277.14/75,830.95 - Step 6: Final answer
x = 57,660.94
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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.