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Finding the Fourth Proportional to 56,074.44, 84,087.90 and 20,989.64

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Solution

The fourth proportional to 56,074.44, 84,087.90 and 20,989.64 is: 31,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,074.44 : 84,087.90 = 20,989.64 : x
  2. Step 2: Convert to fraction form
    56,074.44/84,087.90 = 20,989.64/x
  3. Step 3: Cross multiply
    56,074.44x = 84,087.90 × 20,989.64
  4. Step 4: Simplify right side
    56,074.44x = 1,764,974,749.36
  5. Step 5: Solve for x
    x = 1,764,974,749.36/56,074.44
  6. Step 6: Final answer
    x = 31,475.57

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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.