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Finding the Fourth Proportional to 201,149.10, 301,918.05 and 101,421.90

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Solution

The fourth proportional to 201,149.10, 301,918.05 and 101,421.90 is: 152,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,149.10 : 301,918.05 = 101,421.90 : x
  2. Step 2: Convert to fraction form
    201,149.10/301,918.05 = 101,421.90/x
  3. Step 3: Cross multiply
    201,149.10x = 301,918.05 × 101,421.90
  4. Step 4: Simplify right side
    201,149.10x = 30,621,102,275.30
  5. Step 5: Solve for x
    x = 30,621,102,275.30/201,149.10
  6. Step 6: Final answer
    x = 152,230.87

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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.