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Finding the Fourth Proportional to 188,012.56, 259,440.90 and 107,424.04

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Solution

The fourth proportional to 188,012.56, 259,440.90 and 107,424.04 is: 148,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,012.56 : 259,440.90 = 107,424.04 : x
  2. Step 2: Convert to fraction form
    188,012.56/259,440.90 = 107,424.04/x
  3. Step 3: Cross multiply
    188,012.56x = 259,440.90 × 107,424.04
  4. Step 4: Simplify right side
    188,012.56x = 27,870,189,619.24
  5. Step 5: Solve for x
    x = 27,870,189,619.24/188,012.56
  6. Step 6: Final answer
    x = 148,235.79

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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.