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Finding the Fourth Proportional to 188,230.86, 259,758.99 and 103,353.30

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Solution

The fourth proportional to 188,230.86, 259,758.99 and 103,353.30 is: 142,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,230.86 : 259,758.99 = 103,353.30 : x
  2. Step 2: Convert to fraction form
    188,230.86/259,758.99 = 103,353.30/x
  3. Step 3: Cross multiply
    188,230.86x = 259,758.99 × 103,353.30
  4. Step 4: Simplify right side
    188,230.86x = 26,846,948,821.17
  5. Step 5: Solve for x
    x = 26,846,948,821.17/188,230.86
  6. Step 6: Final answer
    x = 142,627.78

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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.