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Finding the Fourth Proportional to 171,089.33, 256,453.56 and 71,148.92

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Solution

The fourth proportional to 171,089.33, 256,453.56 and 71,148.92 is: 106,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,089.33 : 256,453.56 = 71,148.92 : x
  2. Step 2: Convert to fraction form
    171,089.33/256,453.56 = 71,148.92/x
  3. Step 3: Cross multiply
    171,089.33x = 256,453.56 × 71,148.92
  4. Step 4: Simplify right side
    171,089.33x = 18,246,392,541.89
  5. Step 5: Solve for x
    x = 18,246,392,541.89/171,089.33
  6. Step 6: Final answer
    x = 106,648.34

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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.