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Finding the Fourth Proportional to 85,082, 117,413.16 and 47,363.54

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Solution

The fourth proportional to 85,082, 117,413.16 and 47,363.54 is: 65,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,082 : 117,413.16 = 47,363.54 : x
  2. Step 2: Convert to fraction form
    85,082/117,413.16 = 47,363.54/x
  3. Step 3: Cross multiply
    85,082x = 117,413.16 × 47,363.54
  4. Step 4: Simplify right side
    85,082x = 5,561,102,900.19
  5. Step 5: Solve for x
    x = 5,561,102,900.19/85,082
  6. Step 6: Final answer
    x = 65,361.69

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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.