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Finding the Fourth Proportional to 256,751.54, 354,197.72 and 166,136.75

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Solution

The fourth proportional to 256,751.54, 354,197.72 and 166,136.75 is: 229,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,751.54 : 354,197.72 = 166,136.75 : x
  2. Step 2: Convert to fraction form
    256,751.54/354,197.72 = 166,136.75/x
  3. Step 3: Cross multiply
    256,751.54x = 354,197.72 × 166,136.75
  4. Step 4: Simplify right side
    256,751.54x = 58,845,259,359.05
  5. Step 5: Solve for x
    x = 58,845,259,359.05/256,751.54
  6. Step 6: Final answer
    x = 229,191.46

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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.