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Finding the Fourth Proportional to 188,379, 259,847.64 and 111,846.12

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Solution

The fourth proportional to 188,379, 259,847.64 and 111,846.12 is: 154,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,379 : 259,847.64 = 111,846.12 : x
  2. Step 2: Convert to fraction form
    188,379/259,847.64 = 111,846.12/x
  3. Step 3: Cross multiply
    188,379x = 259,847.64 × 111,846.12
  4. Step 4: Simplify right side
    188,379x = 29,062,950,325.16
  5. Step 5: Solve for x
    x = 29,062,950,325.16/188,379
  6. Step 6: Final answer
    x = 154,279.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.