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Finding the Fourth Proportional to 90,195.92, 135,289.83 and 31,031.90

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Solution

The fourth proportional to 90,195.92, 135,289.83 and 31,031.90 is: 46,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,195.92 : 135,289.83 = 31,031.90 : x
  2. Step 2: Convert to fraction form
    90,195.92/135,289.83 = 31,031.90/x
  3. Step 3: Cross multiply
    90,195.92x = 135,289.83 × 31,031.90
  4. Step 4: Simplify right side
    90,195.92x = 4,198,300,475.58
  5. Step 5: Solve for x
    x = 4,198,300,475.58/90,195.92
  6. Step 6: Final answer
    x = 46,546.46

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1.5x scale

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.