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Finding the Fourth Proportional to 172,686.50, 259,017.87 and 106,136.90

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Solution

The fourth proportional to 172,686.50, 259,017.87 and 106,136.90 is: 159,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,686.50 : 259,017.87 = 106,136.90 : x
  2. Step 2: Convert to fraction form
    172,686.50/259,017.87 = 106,136.90/x
  3. Step 3: Cross multiply
    172,686.50x = 259,017.87 × 106,136.90
  4. Step 4: Simplify right side
    172,686.50x = 27,491,353,766.40
  5. Step 5: Solve for x
    x = 27,491,353,766.40/172,686.50
  6. Step 6: Final answer
    x = 159,198.05

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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.