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Finding the Fourth Proportional to 255,504.68, 352,591.86 and 142,325

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Solution

The fourth proportional to 255,504.68, 352,591.86 and 142,325 is: 196,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,504.68 : 352,591.86 = 142,325 : x
  2. Step 2: Convert to fraction form
    255,504.68/352,591.86 = 142,325/x
  3. Step 3: Cross multiply
    255,504.68x = 352,591.86 × 142,325
  4. Step 4: Simplify right side
    255,504.68x = 50,182,636,474.50
  5. Step 5: Solve for x
    x = 50,182,636,474.50/255,504.68
  6. Step 6: Final answer
    x = 196,405.94

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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.