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Finding the Fourth Proportional to 201,163.90, 301,308.45 and 122,140.30

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Solution

The fourth proportional to 201,163.90, 301,308.45 and 122,140.30 is: 182,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163.90 : 301,308.45 = 122,140.30 : x
  2. Step 2: Convert to fraction form
    201,163.90/301,308.45 = 122,140.30/x
  3. Step 3: Cross multiply
    201,163.90x = 301,308.45 × 122,140.30
  4. Step 4: Simplify right side
    201,163.90x = 36,801,904,475.54
  5. Step 5: Solve for x
    x = 36,801,904,475.54/201,163.90
  6. Step 6: Final answer
    x = 182,944.87

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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.