Finding the Fourth Proportional to 31,102,503.06, 46,648,438.29 and 8,378,085.90
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Solution
The fourth proportional to 31,102,503.06, 46,648,438.29 and 8,378,085.90 is: 12,565,696.80
Step by Step Solution
- Step 1: Write the proportion equation
31,102,503.06 : 46,648,438.29 = 8,378,085.90 : x - Step 2: Convert to fraction form
31,102,503.06/46,648,438.29 = 8,378,085.90/x - Step 3: Cross multiply
31,102,503.06x = 46,648,438.29 × 8,378,085.90 - Step 4: Simplify right side
31,102,503.06x = 390,824,623,094,469.12 - Step 5: Solve for x
x = 390,824,623,094,469.12/31,102,503.06 - Step 6: Final answer
x = 12,565,696.80
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.