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Finding the Fourth Proportional to 188,310, 259,890.84 and 108,822

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Solution

The fourth proportional to 188,310, 259,890.84 and 108,822 is: 150,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,310 : 259,890.84 = 108,822 : x
  2. Step 2: Convert to fraction form
    188,310/259,890.84 = 108,822/x
  3. Step 3: Cross multiply
    188,310x = 259,890.84 × 108,822
  4. Step 4: Simplify right side
    188,310x = 28,281,840,990.48
  5. Step 5: Solve for x
    x = 28,281,840,990.48/188,310
  6. Step 6: Final answer
    x = 150,187.67

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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.