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Finding the Fourth Proportional to 90,874.48, 136,302 and 31,711.27

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Solution

The fourth proportional to 90,874.48, 136,302 and 31,711.27 is: 47,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,874.48 : 136,302 = 31,711.27 : x
  2. Step 2: Convert to fraction form
    90,874.48/136,302 = 31,711.27/x
  3. Step 3: Cross multiply
    90,874.48x = 136,302 × 31,711.27
  4. Step 4: Simplify right side
    90,874.48x = 4,322,309,523.54
  5. Step 5: Solve for x
    x = 4,322,309,523.54/90,874.48
  6. Step 6: Final answer
    x = 47,563.51

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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.