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Finding the Fourth Proportional to 154,874.94, 213,694.83 and 101,238.54

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Solution

The fourth proportional to 154,874.94, 213,694.83 and 101,238.54 is: 139,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,874.94 : 213,694.83 = 101,238.54 : x
  2. Step 2: Convert to fraction form
    154,874.94/213,694.83 = 101,238.54/x
  3. Step 3: Cross multiply
    154,874.94x = 213,694.83 × 101,238.54
  4. Step 4: Simplify right side
    154,874.94x = 21,634,152,594.75
  5. Step 5: Solve for x
    x = 21,634,152,594.75/154,874.94
  6. Step 6: Final answer
    x = 139,687.88

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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.