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Finding the Fourth Proportional to 171,275.44, 256,580.68 and 126,215

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Solution

The fourth proportional to 171,275.44, 256,580.68 and 126,215 is: 189,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,275.44 : 256,580.68 = 126,215 : x
  2. Step 2: Convert to fraction form
    171,275.44/256,580.68 = 126,215/x
  3. Step 3: Cross multiply
    171,275.44x = 256,580.68 × 126,215
  4. Step 4: Simplify right side
    171,275.44x = 32,384,330,526.20
  5. Step 5: Solve for x
    x = 32,384,330,526.20/171,275.44
  6. Step 6: Final answer
    x = 189,077.49

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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.