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Finding the Fourth Proportional to 150,664, 225,989.52 and 45,479.83

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Solution

The fourth proportional to 150,664, 225,989.52 and 45,479.83 is: 68,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,664 : 225,989.52 = 45,479.83 : x
  2. Step 2: Convert to fraction form
    150,664/225,989.52 = 45,479.83/x
  3. Step 3: Cross multiply
    150,664x = 225,989.52 × 45,479.83
  4. Step 4: Simplify right side
    150,664x = 10,277,964,951.38
  5. Step 5: Solve for x
    x = 10,277,964,951.38/150,664
  6. Step 6: Final answer
    x = 68,217.79

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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.