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Finding the Fourth Proportional to 115,234, 172,851 and 27,682

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Solution

The fourth proportional to 115,234, 172,851 and 27,682 is: 41,523

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,234 : 172,851 = 27,682 : x
  2. Step 2: Convert to fraction form
    115,234/172,851 = 27,682/x
  3. Step 3: Cross multiply
    115,234x = 172,851 × 27,682
  4. Step 4: Simplify right side
    115,234x = 4,784,861,382
  5. Step 5: Solve for x
    x = 4,784,861,382/115,234
  6. Step 6: Final answer
    x = 41,523

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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.