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Finding the Fourth Proportional to 89,684, 123,763.92 and 51,980.12

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Solution

The fourth proportional to 89,684, 123,763.92 and 51,980.12 is: 71,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,684 : 123,763.92 = 51,980.12 : x
  2. Step 2: Convert to fraction form
    89,684/123,763.92 = 51,980.12/x
  3. Step 3: Cross multiply
    89,684x = 123,763.92 × 51,980.12
  4. Step 4: Simplify right side
    89,684x = 6,433,263,413.27
  5. Step 5: Solve for x
    x = 6,433,263,413.27/89,684
  6. Step 6: Final answer
    x = 71,732.57

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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.