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Finding the Fourth Proportional to 188,306,405.12, 259,978,774.56 and 149,305,721.60

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Solution

The fourth proportional to 188,306,405.12, 259,978,774.56 and 149,305,721.60 is: 206,133,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,306,405.12 : 259,978,774.56 = 149,305,721.60 : x
  2. Step 2: Convert to fraction form
    188,306,405.12/259,978,774.56 = 149,305,721.60/x
  3. Step 3: Cross multiply
    188,306,405.12x = 259,978,774.56 × 149,305,721.60
  4. Step 4: Simplify right side
    188,306,405.12x = 38,816,318,536,364,520
  5. Step 5: Solve for x
    x = 38,816,318,536,364,520/188,306,405.12
  6. Step 6: Final answer
    x = 206,133,819.57

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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.