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Finding the Fourth Proportional to 256,825.89, 354,412.90 and 142,101.54

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Solution

The fourth proportional to 256,825.89, 354,412.90 and 142,101.54 is: 196,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,825.89 : 354,412.90 = 142,101.54 : x
  2. Step 2: Convert to fraction form
    256,825.89/354,412.90 = 142,101.54/x
  3. Step 3: Cross multiply
    256,825.89x = 354,412.90 × 142,101.54
  4. Step 4: Simplify right side
    256,825.89x = 50,362,617,113.80
  5. Step 5: Solve for x
    x = 50,362,617,113.80/256,825.89
  6. Step 6: Final answer
    x = 196,096.34

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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.