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Finding the Fourth Proportional to 198,352, 273,725.76 and 108,928

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Solution

The fourth proportional to 198,352, 273,725.76 and 108,928 is: 150,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,352 : 273,725.76 = 108,928 : x
  2. Step 2: Convert to fraction form
    198,352/273,725.76 = 108,928/x
  3. Step 3: Cross multiply
    198,352x = 273,725.76 × 108,928
  4. Step 4: Simplify right side
    198,352x = 29,816,399,585.28
  5. Step 5: Solve for x
    x = 29,816,399,585.28/198,352
  6. Step 6: Final answer
    x = 150,320.64

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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.