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Finding the Fourth Proportional to 102,791.81, 154,198.28 and 38,803.85

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Solution

The fourth proportional to 102,791.81, 154,198.28 and 38,803.85 is: 58,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,791.81 : 154,198.28 = 38,803.85 : x
  2. Step 2: Convert to fraction form
    102,791.81/154,198.28 = 38,803.85/x
  3. Step 3: Cross multiply
    102,791.81x = 154,198.28 × 38,803.85
  4. Step 4: Simplify right side
    102,791.81x = 5,983,485,962.37
  5. Step 5: Solve for x
    x = 5,983,485,962.37/102,791.81
  6. Step 6: Final answer
    x = 58,209.76

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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.