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Finding the Fourth Proportional to 256,856.61, 354,452.96 and 142,133.27

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Solution

The fourth proportional to 256,856.61, 354,452.96 and 142,133.27 is: 196,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,856.61 : 354,452.96 = 142,133.27 : x
  2. Step 2: Convert to fraction form
    256,856.61/354,452.96 = 142,133.27/x
  3. Step 3: Cross multiply
    256,856.61x = 354,452.96 × 142,133.27
  4. Step 4: Simplify right side
    256,856.61x = 50,379,555,783.05
  5. Step 5: Solve for x
    x = 50,379,555,783.05/256,856.61
  6. Step 6: Final answer
    x = 196,138.83

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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.