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Finding the Fourth Proportional to 103,422.57, 155,142.80 and 28,542.73

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Solution

The fourth proportional to 103,422.57, 155,142.80 and 28,542.73 is: 42,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,422.57 : 155,142.80 = 28,542.73 : x
  2. Step 2: Convert to fraction form
    103,422.57/155,142.80 = 28,542.73/x
  3. Step 3: Cross multiply
    103,422.57x = 155,142.80 × 28,542.73
  4. Step 4: Simplify right side
    103,422.57x = 4,428,198,735.34
  5. Step 5: Solve for x
    x = 4,428,198,735.34/103,422.57
  6. Step 6: Final answer
    x = 42,816.56

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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.