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Finding the Fourth Proportional to 255,904.92, 353,149.30 and 142,735

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Solution

The fourth proportional to 255,904.92, 353,149.30 and 142,735 is: 196,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904.92 : 353,149.30 = 142,735 : x
  2. Step 2: Convert to fraction form
    255,904.92/353,149.30 = 142,735/x
  3. Step 3: Cross multiply
    255,904.92x = 353,149.30 × 142,735
  4. Step 4: Simplify right side
    255,904.92x = 50,406,765,335.50
  5. Step 5: Solve for x
    x = 50,406,765,335.50/255,904.92
  6. Step 6: Final answer
    x = 196,974.58

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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.