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Finding the Fourth Proportional to 172,758.76, 258,982.62 and 61,873

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Solution

The fourth proportional to 172,758.76, 258,982.62 and 61,873 is: 92,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,758.76 : 258,982.62 = 61,873 : x
  2. Step 2: Convert to fraction form
    172,758.76/258,982.62 = 61,873/x
  3. Step 3: Cross multiply
    172,758.76x = 258,982.62 × 61,873
  4. Step 4: Simplify right side
    172,758.76x = 16,024,031,647.26
  5. Step 5: Solve for x
    x = 16,024,031,647.26/172,758.76
  6. Step 6: Final answer
    x = 92,753.80

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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.