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Finding the Fourth Proportional to 256,919.80, 354,542.02 and 142,203.14

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Solution

The fourth proportional to 256,919.80, 354,542.02 and 142,203.14 is: 196,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,919.80 : 354,542.02 = 142,203.14 : x
  2. Step 2: Convert to fraction form
    256,919.80/354,542.02 = 142,203.14/x
  3. Step 3: Cross multiply
    256,919.80x = 354,542.02 × 142,203.14
  4. Step 4: Simplify right side
    256,919.80x = 50,416,988,505.94
  5. Step 5: Solve for x
    x = 50,416,988,505.94/256,919.80
  6. Step 6: Final answer
    x = 196,236.29

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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.