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Finding the Fourth Proportional to 171,510.22, 257,353.08 and 81,654.52

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Solution

The fourth proportional to 171,510.22, 257,353.08 and 81,654.52 is: 122,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,510.22 : 257,353.08 = 81,654.52 : x
  2. Step 2: Convert to fraction form
    171,510.22/257,353.08 = 81,654.52/x
  3. Step 3: Cross multiply
    171,510.22x = 257,353.08 × 81,654.52
  4. Step 4: Simplify right side
    171,510.22x = 21,014,042,217.92
  5. Step 5: Solve for x
    x = 21,014,042,217.92/171,510.22
  6. Step 6: Final answer
    x = 122,523.56

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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.