Finding the Fourth Proportional to 106,417.19, 159,650.84 and 31,537.95
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Solution
The fourth proportional to 106,417.19, 159,650.84 and 31,537.95 is: 47,314.35
Step by Step Solution
- Step 1: Write the proportion equation
106,417.19 : 159,650.84 = 31,537.95 : x - Step 2: Convert to fraction form
106,417.19/159,650.84 = 31,537.95/x - Step 3: Cross multiply
106,417.19x = 159,650.84 × 31,537.95 - Step 4: Simplify right side
106,417.19x = 5,035,060,209.38 - Step 5: Solve for x
x = 5,035,060,209.38/106,417.19 - Step 6: Final answer
x = 47,314.35
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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.