Finding the Fourth Proportional to 97,013,276.57, 145,542,851.98 and 31,434,306.05
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Solution
The fourth proportional to 97,013,276.57, 145,542,851.98 and 31,434,306.05 is: 47,158,891.18
Step by Step Solution
- Step 1: Write the proportion equation
97,013,276.57 : 145,542,851.98 = 31,434,306.05 : x - Step 2: Convert to fraction form
97,013,276.57/145,542,851.98 = 31,434,306.05/x - Step 3: Cross multiply
97,013,276.57x = 145,542,851.98 × 31,434,306.05 - Step 4: Simplify right side
97,013,276.57x = 4,575,038,552,991,415 - Step 5: Solve for x
x = 4,575,038,552,991,415/97,013,276.57 - Step 6: Final answer
x = 47,158,891.18
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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.