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Finding the Fourth Proportional to 135,983.70, 204,048.45 and 57,105.90

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Solution

The fourth proportional to 135,983.70, 204,048.45 and 57,105.90 is: 85,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,983.70 : 204,048.45 = 57,105.90 : x
  2. Step 2: Convert to fraction form
    135,983.70/204,048.45 = 57,105.90/x
  3. Step 3: Cross multiply
    135,983.70x = 204,048.45 × 57,105.90
  4. Step 4: Simplify right side
    135,983.70x = 11,652,370,380.86
  5. Step 5: Solve for x
    x = 11,652,370,380.86/135,983.70
  6. Step 6: Final answer
    x = 85,689.46

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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.