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Finding the Fourth Proportional to 101,898, 140,632.20 and 57,186

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Solution

The fourth proportional to 101,898, 140,632.20 and 57,186 is: 78,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,898 : 140,632.20 = 57,186 : x
  2. Step 2: Convert to fraction form
    101,898/140,632.20 = 57,186/x
  3. Step 3: Cross multiply
    101,898x = 140,632.20 × 57,186
  4. Step 4: Simplify right side
    101,898x = 8,042,192,989.20
  5. Step 5: Solve for x
    x = 8,042,192,989.20/101,898
  6. Step 6: Final answer
    x = 78,923.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.