Finding the Fourth Proportional to 130,012,006.13, 195,015,276.93 and 31,644,261.53
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Solution
The fourth proportional to 130,012,006.13, 195,015,276.93 and 31,644,261.53 is: 47,465,727.28
Step by Step Solution
- Step 1: Write the proportion equation
130,012,006.13 : 195,015,276.93 = 31,644,261.53 : x - Step 2: Convert to fraction form
130,012,006.13/195,015,276.93 = 31,644,261.53/x - Step 3: Cross multiply
130,012,006.13x = 195,015,276.93 × 31,644,261.53 - Step 4: Simplify right side
130,012,006.13x = 6,171,114,425,518,296 - Step 5: Solve for x
x = 6,171,114,425,518,296/130,012,006.13 - Step 6: Final answer
x = 47,465,727.28
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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.