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Finding the Fourth Proportional to 135,667.54, 187,221.26 and 75,238.90

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Solution

The fourth proportional to 135,667.54, 187,221.26 and 75,238.90 is: 103,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,667.54 : 187,221.26 = 75,238.90 : x
  2. Step 2: Convert to fraction form
    135,667.54/187,221.26 = 75,238.90/x
  3. Step 3: Cross multiply
    135,667.54x = 187,221.26 × 75,238.90
  4. Step 4: Simplify right side
    135,667.54x = 14,086,321,659.01
  5. Step 5: Solve for x
    x = 14,086,321,659.01/135,667.54
  6. Step 6: Final answer
    x = 103,829.71

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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.