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Finding the Fourth Proportional to 256,793.21, 354,385.07 and 142,069.87

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Solution

The fourth proportional to 256,793.21, 354,385.07 and 142,069.87 is: 196,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,793.21 : 354,385.07 = 142,069.87 : x
  2. Step 2: Convert to fraction form
    256,793.21/354,385.07 = 142,069.87/x
  3. Step 3: Cross multiply
    256,793.21x = 354,385.07 × 142,069.87
  4. Step 4: Simplify right side
    256,793.21x = 50,347,440,824.84
  5. Step 5: Solve for x
    x = 50,347,440,824.84/256,793.21
  6. Step 6: Final answer
    x = 196,062.20

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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.