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Finding the Fourth Proportional to 201,163.50, 301,745.28 and 53,419.50

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Solution

The fourth proportional to 201,163.50, 301,745.28 and 53,419.50 is: 80,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163.50 : 301,745.28 = 53,419.50 : x
  2. Step 2: Convert to fraction form
    201,163.50/301,745.28 = 53,419.50/x
  3. Step 3: Cross multiply
    201,163.50x = 301,745.28 × 53,419.50
  4. Step 4: Simplify right side
    201,163.50x = 16,119,081,984.96
  5. Step 5: Solve for x
    x = 16,119,081,984.96/201,163.50
  6. Step 6: Final answer
    x = 80,129.26

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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.