Finding the Fourth Proportional to 31,575,823.17, 47,365,430.28 and 10,012,106.44
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Solution
The fourth proportional to 31,575,823.17, 47,365,430.28 and 10,012,106.44 is: 15,018,697.28
Step by Step Solution
- Step 1: Write the proportion equation
31,575,823.17 : 47,365,430.28 = 10,012,106.44 : x - Step 2: Convert to fraction form
31,575,823.17/47,365,430.28 = 10,012,106.44/x - Step 3: Cross multiply
31,575,823.17x = 47,365,430.28 × 10,012,106.44 - Step 4: Simplify right side
31,575,823.17x = 474,227,729,539,759 - Step 5: Solve for x
x = 474,227,729,539,759/31,575,823.17 - Step 6: Final answer
x = 15,018,697.28
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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.