Finding the Fourth Proportional to 122,584,436,420.12, 169,170,696,243 and 71,139,013,174.88
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Solution
The fourth proportional to 122,584,436,420.12, 169,170,696,243 and 71,139,013,174.88 is: 98,174,260,454.97
Step by Step Solution
- Step 1: Write the proportion equation
122,584,436,420.12 : 169,170,696,243 = 71,139,013,174.88 : x - Step 2: Convert to fraction form
122,584,436,420.12/169,170,696,243 = 71,139,013,174.88/x - Step 3: Cross multiply
122,584,436,420.12x = 169,170,696,243 × 71,139,013,174.88 - Step 4: Simplify right side
122,584,436,420.12x = 12,034,636,388,834,400,534,528 - Step 5: Solve for x
x = 12,034,636,388,834,400,534,528/122,584,436,420.12 - Step 6: Final answer
x = 98,174,260,454.97
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.