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Finding the Fourth Proportional to 171,023.20, 256,243.20 and 145,945.60

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Solution

The fourth proportional to 171,023.20, 256,243.20 and 145,945.60 is: 218,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,023.20 : 256,243.20 = 145,945.60 : x
  2. Step 2: Convert to fraction form
    171,023.20/256,243.20 = 145,945.60/x
  3. Step 3: Cross multiply
    171,023.20x = 256,243.20 × 145,945.60
  4. Step 4: Simplify right side
    171,023.20x = 37,397,567,569.92
  5. Step 5: Solve for x
    x = 37,397,567,569.92/171,023.20
  6. Step 6: Final answer
    x = 218,669.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.