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Finding the Fourth Proportional to 198,000, 273,248.64 and 108,576

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Solution

The fourth proportional to 198,000, 273,248.64 and 108,576 is: 149,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,000 : 273,248.64 = 108,576 : x
  2. Step 2: Convert to fraction form
    198,000/273,248.64 = 108,576/x
  3. Step 3: Cross multiply
    198,000x = 273,248.64 × 108,576
  4. Step 4: Simplify right side
    198,000x = 29,668,244,336.64
  5. Step 5: Solve for x
    x = 29,668,244,336.64/198,000
  6. Step 6: Final answer
    x = 149,839.62

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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.