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Finding the Fourth Proportional to 168,084, 252,130.86 and 43,425

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Solution

The fourth proportional to 168,084, 252,130.86 and 43,425 is: 65,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,084 : 252,130.86 = 43,425 : x
  2. Step 2: Convert to fraction form
    168,084/252,130.86 = 43,425/x
  3. Step 3: Cross multiply
    168,084x = 252,130.86 × 43,425
  4. Step 4: Simplify right side
    168,084x = 10,948,782,595.50
  5. Step 5: Solve for x
    x = 10,948,782,595.50/168,084
  6. Step 6: Final answer
    x = 65,138.76

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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.