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Finding the Fourth Proportional to 101,720, 140,382.24 and 57,016.64

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Solution

The fourth proportional to 101,720, 140,382.24 and 57,016.64 is: 78,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,720 : 140,382.24 = 57,016.64 : x
  2. Step 2: Convert to fraction form
    101,720/140,382.24 = 57,016.64/x
  3. Step 3: Cross multiply
    101,720x = 140,382.24 × 57,016.64
  4. Step 4: Simplify right side
    101,720x = 8,004,123,640.47
  5. Step 5: Solve for x
    x = 8,004,123,640.47/101,720
  6. Step 6: Final answer
    x = 78,687.81

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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.