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Finding the Fourth Proportional to 74,620.50, 102,943 and 50,413.67

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Solution

The fourth proportional to 74,620.50, 102,943 and 50,413.67 is: 69,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,620.50 : 102,943 = 50,413.67 : x
  2. Step 2: Convert to fraction form
    74,620.50/102,943 = 50,413.67/x
  3. Step 3: Cross multiply
    74,620.50x = 102,943 × 50,413.67
  4. Step 4: Simplify right side
    74,620.50x = 5,189,734,430.81
  5. Step 5: Solve for x
    x = 5,189,734,430.81/74,620.50
  6. Step 6: Final answer
    x = 69,548.37

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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.