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Finding the Fourth Proportional to 154,858.14, 213,671.70 and 101,221.97

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Solution

The fourth proportional to 154,858.14, 213,671.70 and 101,221.97 is: 139,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,858.14 : 213,671.70 = 101,221.97 : x
  2. Step 2: Convert to fraction form
    154,858.14/213,671.70 = 101,221.97/x
  3. Step 3: Cross multiply
    154,858.14x = 213,671.70 × 101,221.97
  4. Step 4: Simplify right side
    154,858.14x = 21,628,269,338.89
  5. Step 5: Solve for x
    x = 21,628,269,338.89/154,858.14
  6. Step 6: Final answer
    x = 139,665.05

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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.