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Finding the Fourth Proportional to 101,769.72, 140,413.50 and 65,961.24

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Solution

The fourth proportional to 101,769.72, 140,413.50 and 65,961.24 is: 91,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769.72 : 140,413.50 = 65,961.24 : x
  2. Step 2: Convert to fraction form
    101,769.72/140,413.50 = 65,961.24/x
  3. Step 3: Cross multiply
    101,769.72x = 140,413.50 × 65,961.24
  4. Step 4: Simplify right side
    101,769.72x = 9,261,848,572.74
  5. Step 5: Solve for x
    x = 9,261,848,572.74/101,769.72
  6. Step 6: Final answer
    x = 91,007.90

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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.