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Finding the Fourth Proportional to 255,970.96, 353,249.54 and 142,815.56

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Solution

The fourth proportional to 255,970.96, 353,249.54 and 142,815.56 is: 197,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,970.96 : 353,249.54 = 142,815.56 : x
  2. Step 2: Convert to fraction form
    255,970.96/353,249.54 = 142,815.56/x
  3. Step 3: Cross multiply
    255,970.96x = 353,249.54 × 142,815.56
  4. Step 4: Simplify right side
    255,970.96x = 50,449,530,874.84
  5. Step 5: Solve for x
    x = 50,449,530,874.84/255,970.96
  6. Step 6: Final answer
    x = 197,090.84

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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.