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Finding the Fourth Proportional to 40,321.76, 55,616.40 and 24,378.56

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Solution

The fourth proportional to 40,321.76, 55,616.40 and 24,378.56 is: 33,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,321.76 : 55,616.40 = 24,378.56 : x
  2. Step 2: Convert to fraction form
    40,321.76/55,616.40 = 24,378.56/x
  3. Step 3: Cross multiply
    40,321.76x = 55,616.40 × 24,378.56
  4. Step 4: Simplify right side
    40,321.76x = 1,355,847,744.38
  5. Step 5: Solve for x
    x = 1,355,847,744.38/40,321.76
  6. Step 6: Final answer
    x = 33,625.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.