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Finding the Fourth Proportional to 188,311.64, 259,794.92 and 120,310.98

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Solution

The fourth proportional to 188,311.64, 259,794.92 and 120,310.98 is: 165,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,311.64 : 259,794.92 = 120,310.98 : x
  2. Step 2: Convert to fraction form
    188,311.64/259,794.92 = 120,310.98/x
  3. Step 3: Cross multiply
    188,311.64x = 259,794.92 × 120,310.98
  4. Step 4: Simplify right side
    188,311.64x = 31,256,180,822.67
  5. Step 5: Solve for x
    x = 31,256,180,822.67/188,311.64
  6. Step 6: Final answer
    x = 165,981.15

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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.