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Finding the Fourth Proportional to 252,066.87, 378,211.47 and 133,709.16

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Solution

The fourth proportional to 252,066.87, 378,211.47 and 133,709.16 is: 200,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,066.87 : 378,211.47 = 133,709.16 : x
  2. Step 2: Convert to fraction form
    252,066.87/378,211.47 = 133,709.16/x
  3. Step 3: Cross multiply
    252,066.87x = 378,211.47 × 133,709.16
  4. Step 4: Simplify right side
    252,066.87x = 50,570,337,956.07
  5. Step 5: Solve for x
    x = 50,570,337,956.07/252,066.87
  6. Step 6: Final answer
    x = 200,622.71

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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.