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Finding the Fourth Proportional to 255,213.32, 352,187 and 142,033.64

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Solution

The fourth proportional to 255,213.32, 352,187 and 142,033.64 is: 196,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,213.32 : 352,187 = 142,033.64 : x
  2. Step 2: Convert to fraction form
    255,213.32/352,187 = 142,033.64/x
  3. Step 3: Cross multiply
    255,213.32x = 352,187 × 142,033.64
  4. Step 4: Simplify right side
    255,213.32x = 50,022,401,570.68
  5. Step 5: Solve for x
    x = 50,022,401,570.68/255,213.32
  6. Step 6: Final answer
    x = 196,002.32

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1.5x scale

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.