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Finding the Fourth Proportional to 198,513, 273,947.94 and 109,089

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Solution

The fourth proportional to 198,513, 273,947.94 and 109,089 is: 150,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,513 : 273,947.94 = 109,089 : x
  2. Step 2: Convert to fraction form
    198,513/273,947.94 = 109,089/x
  3. Step 3: Cross multiply
    198,513x = 273,947.94 × 109,089
  4. Step 4: Simplify right side
    198,513x = 29,884,706,826.66
  5. Step 5: Solve for x
    x = 29,884,706,826.66/198,513
  6. Step 6: Final answer
    x = 150,542.82

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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.