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Finding the Fourth Proportional to 56,400, 84,601.36 and 18,960.56

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Solution

The fourth proportional to 56,400, 84,601.36 and 18,960.56 is: 28,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,400 : 84,601.36 = 18,960.56 : x
  2. Step 2: Convert to fraction form
    56,400/84,601.36 = 18,960.56/x
  3. Step 3: Cross multiply
    56,400x = 84,601.36 × 18,960.56
  4. Step 4: Simplify right side
    56,400x = 1,604,089,162.36
  5. Step 5: Solve for x
    x = 1,604,089,162.36/56,400
  6. Step 6: Final answer
    x = 28,441.30

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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.