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Finding the Fourth Proportional to 101,709.07, 140,361.84 and 56,391.28

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Solution

The fourth proportional to 101,709.07, 140,361.84 and 56,391.28 is: 77,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709.07 : 140,361.84 = 56,391.28 : x
  2. Step 2: Convert to fraction form
    101,709.07/140,361.84 = 56,391.28/x
  3. Step 3: Cross multiply
    101,709.07x = 140,361.84 × 56,391.28
  4. Step 4: Simplify right side
    101,709.07x = 7,915,183,469.85
  5. Step 5: Solve for x
    x = 7,915,183,469.85/101,709.07
  6. Step 6: Final answer
    x = 77,821.81

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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.