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Finding the Fourth Proportional to 252,143.20, 378,242.48 and 125,815.24

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Solution

The fourth proportional to 252,143.20, 378,242.48 and 125,815.24 is: 188,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,143.20 : 378,242.48 = 125,815.24 : x
  2. Step 2: Convert to fraction form
    252,143.20/378,242.48 = 125,815.24/x
  3. Step 3: Cross multiply
    252,143.20x = 378,242.48 × 125,815.24
  4. Step 4: Simplify right side
    252,143.20x = 47,588,667,768.33
  5. Step 5: Solve for x
    x = 47,588,667,768.33/252,143.20
  6. Step 6: Final answer
    x = 188,736.67

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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.