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Finding the Fourth Proportional to 100,571.22, 138,768.64 and 57,563.87

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Solution

The fourth proportional to 100,571.22, 138,768.64 and 57,563.87 is: 79,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,571.22 : 138,768.64 = 57,563.87 : x
  2. Step 2: Convert to fraction form
    100,571.22/138,768.64 = 57,563.87/x
  3. Step 3: Cross multiply
    100,571.22x = 138,768.64 × 57,563.87
  4. Step 4: Simplify right side
    100,571.22x = 7,988,059,439.08
  5. Step 5: Solve for x
    x = 7,988,059,439.08/100,571.22
  6. Step 6: Final answer
    x = 79,426.89

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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.