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Finding the Fourth Proportional to 201,167.10, 301,945.05 and 101,439.90

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Solution

The fourth proportional to 201,167.10, 301,945.05 and 101,439.90 is: 152,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,167.10 : 301,945.05 = 101,439.90 : x
  2. Step 2: Convert to fraction form
    201,167.10/301,945.05 = 101,439.90/x
  3. Step 3: Cross multiply
    201,167.10x = 301,945.05 × 101,439.90
  4. Step 4: Simplify right side
    201,167.10x = 30,629,275,677.50
  5. Step 5: Solve for x
    x = 30,629,275,677.50/201,167.10
  6. Step 6: Final answer
    x = 152,257.88

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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.