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Finding the Fourth Proportional to 193,300.50, 289,654.76 and 80,919.48

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Solution

The fourth proportional to 193,300.50, 289,654.76 and 80,919.48 is: 121,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,300.50 : 289,654.76 = 80,919.48 : x
  2. Step 2: Convert to fraction form
    193,300.50/289,654.76 = 80,919.48/x
  3. Step 3: Cross multiply
    193,300.50x = 289,654.76 × 80,919.48
  4. Step 4: Simplify right side
    193,300.50x = 23,438,712,761.02
  5. Step 5: Solve for x
    x = 23,438,712,761.02/193,300.50
  6. Step 6: Final answer
    x = 121,255.31

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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.