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Finding the Fourth Proportional to 101,954.72, 140,724.24 and 57,257.12

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Solution

The fourth proportional to 101,954.72, 140,724.24 and 57,257.12 is: 79,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,954.72 : 140,724.24 = 57,257.12 : x
  2. Step 2: Convert to fraction form
    101,954.72/140,724.24 = 57,257.12/x
  3. Step 3: Cross multiply
    101,954.72x = 140,724.24 × 57,257.12
  4. Step 4: Simplify right side
    101,954.72x = 8,057,464,696.59
  5. Step 5: Solve for x
    x = 8,057,464,696.59/101,954.72
  6. Step 6: Final answer
    x = 79,029.83

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1.5x scale

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.