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Finding the Fourth Proportional to 255,286.80, 352,286.28 and 142,107.12

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Solution

The fourth proportional to 255,286.80, 352,286.28 and 142,107.12 is: 196,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,286.80 : 352,286.28 = 142,107.12 : x
  2. Step 2: Convert to fraction form
    255,286.80/352,286.28 = 142,107.12/x
  3. Step 3: Cross multiply
    255,286.80x = 352,286.28 × 142,107.12
  4. Step 4: Simplify right side
    255,286.80x = 50,062,388,666.31
  5. Step 5: Solve for x
    x = 50,062,388,666.31/255,286.80
  6. Step 6: Final answer
    x = 196,102.54

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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.