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Finding the Fourth Proportional to 279,956.41, 420,108.77 and 113,744.41

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Solution

The fourth proportional to 279,956.41, 420,108.77 and 113,744.41 is: 170,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,956.41 : 420,108.77 = 113,744.41 : x
  2. Step 2: Convert to fraction form
    279,956.41/420,108.77 = 113,744.41/x
  3. Step 3: Cross multiply
    279,956.41x = 420,108.77 × 113,744.41
  4. Step 4: Simplify right side
    279,956.41x = 47,785,023,413.56
  5. Step 5: Solve for x
    x = 47,785,023,413.56/279,956.41
  6. Step 6: Final answer
    x = 170,687.37

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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.