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Finding the Fourth Proportional to 188,195.80, 259,710.46 and 102,154.73

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Solution

The fourth proportional to 188,195.80, 259,710.46 and 102,154.73 is: 140,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,195.80 : 259,710.46 = 102,154.73 : x
  2. Step 2: Convert to fraction form
    188,195.80/259,710.46 = 102,154.73/x
  3. Step 3: Cross multiply
    188,195.80x = 259,710.46 × 102,154.73
  4. Step 4: Simplify right side
    188,195.80x = 26,530,651,919.48
  5. Step 5: Solve for x
    x = 26,530,651,919.48/188,195.80
  6. Step 6: Final answer
    x = 140,973.67

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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.