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Finding the Fourth Proportional to 50,424.32, 75,662 and 20,863.37

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Solution

The fourth proportional to 50,424.32, 75,662 and 20,863.37 is: 31,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,424.32 : 75,662 = 20,863.37 : x
  2. Step 2: Convert to fraction form
    50,424.32/75,662 = 20,863.37/x
  3. Step 3: Cross multiply
    50,424.32x = 75,662 × 20,863.37
  4. Step 4: Simplify right side
    50,424.32x = 1,578,564,300.94
  5. Step 5: Solve for x
    x = 1,578,564,300.94/50,424.32
  6. Step 6: Final answer
    x = 31,305.61

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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.