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Finding the Fourth Proportional to 101,190.83, 151,879.59 and 51,305.75

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Solution

The fourth proportional to 101,190.83, 151,879.59 and 51,305.75 is: 77,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,190.83 : 151,879.59 = 51,305.75 : x
  2. Step 2: Convert to fraction form
    101,190.83/151,879.59 = 51,305.75/x
  3. Step 3: Cross multiply
    101,190.83x = 151,879.59 × 51,305.75
  4. Step 4: Simplify right side
    101,190.83x = 7,792,296,274.64
  5. Step 5: Solve for x
    x = 7,792,296,274.64/101,190.83
  6. Step 6: Final answer
    x = 77,005.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.