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Finding the Fourth Proportional to 171,231.79, 256,849.42 and 76,466.80

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Solution

The fourth proportional to 171,231.79, 256,849.42 and 76,466.80 is: 114,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,231.79 : 256,849.42 = 76,466.80 : x
  2. Step 2: Convert to fraction form
    171,231.79/256,849.42 = 76,466.80/x
  3. Step 3: Cross multiply
    171,231.79x = 256,849.42 × 76,466.80
  4. Step 4: Simplify right side
    171,231.79x = 19,640,452,395.97
  5. Step 5: Solve for x
    x = 19,640,452,395.97/171,231.79
  6. Step 6: Final answer
    x = 114,700.97

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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.