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Finding the Fourth Proportional to 256,766.28, 354,330.84 and 142,041.96

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Solution

The fourth proportional to 256,766.28, 354,330.84 and 142,041.96 is: 196,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,766.28 : 354,330.84 = 142,041.96 : x
  2. Step 2: Convert to fraction form
    256,766.28/354,330.84 = 142,041.96/x
  3. Step 3: Cross multiply
    256,766.28x = 354,330.84 × 142,041.96
  4. Step 4: Simplify right side
    256,766.28x = 50,329,847,002.05
  5. Step 5: Solve for x
    x = 50,329,847,002.05/256,766.28
  6. Step 6: Final answer
    x = 196,014.24

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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.