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Finding the Fourth Proportional to 255,597.28, 352,735.04 and 142,420

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Solution

The fourth proportional to 255,597.28, 352,735.04 and 142,420 is: 196,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,597.28 : 352,735.04 = 142,420 : x
  2. Step 2: Convert to fraction form
    255,597.28/352,735.04 = 142,420/x
  3. Step 3: Cross multiply
    255,597.28x = 352,735.04 × 142,420
  4. Step 4: Simplify right side
    255,597.28x = 50,236,524,396.80
  5. Step 5: Solve for x
    x = 50,236,524,396.80/255,597.28
  6. Step 6: Final answer
    x = 196,545.61

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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.