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Finding the Fourth Proportional to 90,193.92, 135,286.83 and 31,029.90

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Solution

The fourth proportional to 90,193.92, 135,286.83 and 31,029.90 is: 46,543.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,193.92 : 135,286.83 = 31,029.90 : x
  2. Step 2: Convert to fraction form
    90,193.92/135,286.83 = 31,029.90/x
  3. Step 3: Cross multiply
    90,193.92x = 135,286.83 × 31,029.90
  4. Step 4: Simplify right side
    90,193.92x = 4,197,936,806.22
  5. Step 5: Solve for x
    x = 4,197,936,806.22/90,193.92
  6. Step 6: Final answer
    x = 46,543.46

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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.