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Finding the Fourth Proportional to 135,658.44, 203,238 and 85,047.84

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Solution

The fourth proportional to 135,658.44, 203,238 and 85,047.84 is: 127,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,658.44 : 203,238 = 85,047.84 : x
  2. Step 2: Convert to fraction form
    135,658.44/203,238 = 85,047.84/x
  3. Step 3: Cross multiply
    135,658.44x = 203,238 × 85,047.84
  4. Step 4: Simplify right side
    135,658.44x = 17,284,952,905.92
  5. Step 5: Solve for x
    x = 17,284,952,905.92/135,658.44
  6. Step 6: Final answer
    x = 127,415.24

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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.