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Finding the Fourth Proportional to 111,942.94, 168,004.32 and 55,780.78

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Solution

The fourth proportional to 111,942.94, 168,004.32 and 55,780.78 is: 83,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,942.94 : 168,004.32 = 55,780.78 : x
  2. Step 2: Convert to fraction form
    111,942.94/168,004.32 = 55,780.78/x
  3. Step 3: Cross multiply
    111,942.94x = 168,004.32 × 55,780.78
  4. Step 4: Simplify right side
    111,942.94x = 9,371,412,012.97
  5. Step 5: Solve for x
    x = 9,371,412,012.97/111,942.94
  6. Step 6: Final answer
    x = 83,715.97

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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.