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Finding the Fourth Proportional to 81,509.91, 122,282.46 and 25,348.92

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Solution

The fourth proportional to 81,509.91, 122,282.46 and 25,348.92 is: 38,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509.91 : 122,282.46 = 25,348.92 : x
  2. Step 2: Convert to fraction form
    81,509.91/122,282.46 = 25,348.92/x
  3. Step 3: Cross multiply
    81,509.91x = 122,282.46 × 25,348.92
  4. Step 4: Simplify right side
    81,509.91x = 3,099,728,295.94
  5. Step 5: Solve for x
    x = 3,099,728,295.94/81,509.91
  6. Step 6: Final answer
    x = 38,028.85

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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.