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Finding the Fourth Proportional to 55,298.21, 82,947.63 and 13,745.21

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Solution

The fourth proportional to 55,298.21, 82,947.63 and 13,745.21 is: 20,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,298.21 : 82,947.63 = 13,745.21 : x
  2. Step 2: Convert to fraction form
    55,298.21/82,947.63 = 13,745.21/x
  3. Step 3: Cross multiply
    55,298.21x = 82,947.63 × 13,745.21
  4. Step 4: Simplify right side
    55,298.21x = 1,140,132,940.36
  5. Step 5: Solve for x
    x = 1,140,132,940.36/55,298.21
  6. Step 6: Final answer
    x = 20,617.90

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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.