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Finding the Fourth Proportional to 234,206.56, 323,170.24 and 142,278

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Solution

The fourth proportional to 234,206.56, 323,170.24 and 142,278 is: 196,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,206.56 : 323,170.24 = 142,278 : x
  2. Step 2: Convert to fraction form
    234,206.56/323,170.24 = 142,278/x
  3. Step 3: Cross multiply
    234,206.56x = 323,170.24 × 142,278
  4. Step 4: Simplify right side
    234,206.56x = 45,980,015,406.72
  5. Step 5: Solve for x
    x = 45,980,015,406.72/234,206.56
  6. Step 6: Final answer
    x = 196,322.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.