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Finding the Fourth Proportional to 111,139.70, 166,499.96 and 54,914.36

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Solution

The fourth proportional to 111,139.70, 166,499.96 and 54,914.36 is: 82,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,139.70 : 166,499.96 = 54,914.36 : x
  2. Step 2: Convert to fraction form
    111,139.70/166,499.96 = 54,914.36/x
  3. Step 3: Cross multiply
    111,139.70x = 166,499.96 × 54,914.36
  4. Step 4: Simplify right side
    111,139.70x = 9,143,237,636.35
  5. Step 5: Solve for x
    x = 9,143,237,636.35/111,139.70
  6. Step 6: Final answer
    x = 82,267.97

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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.