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Finding the Fourth Proportional to 193,073.33, 289,602.09 and 80,724.71

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Solution

The fourth proportional to 193,073.33, 289,602.09 and 80,724.71 is: 121,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,073.33 : 289,602.09 = 80,724.71 : x
  2. Step 2: Convert to fraction form
    193,073.33/289,602.09 = 80,724.71/x
  3. Step 3: Cross multiply
    193,073.33x = 289,602.09 × 80,724.71
  4. Step 4: Simplify right side
    193,073.33x = 23,378,043,282.63
  5. Step 5: Solve for x
    x = 23,378,043,282.63/193,073.33
  6. Step 6: Final answer
    x = 121,083.76

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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.