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Finding the Fourth Proportional to 135,785.28, 203,629.30 and 47,014.94

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Solution

The fourth proportional to 135,785.28, 203,629.30 and 47,014.94 is: 70,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,785.28 : 203,629.30 = 47,014.94 : x
  2. Step 2: Convert to fraction form
    135,785.28/203,629.30 = 47,014.94/x
  3. Step 3: Cross multiply
    135,785.28x = 203,629.30 × 47,014.94
  4. Step 4: Simplify right side
    135,785.28x = 9,573,619,321.74
  5. Step 5: Solve for x
    x = 9,573,619,321.74/135,785.28
  6. Step 6: Final answer
    x = 70,505.58

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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.