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Finding the Fourth Proportional to 188,287.16, 259,740.20 and 120,232.58

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Solution

The fourth proportional to 188,287.16, 259,740.20 and 120,232.58 is: 165,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,287.16 : 259,740.20 = 120,232.58 : x
  2. Step 2: Convert to fraction form
    188,287.16/259,740.20 = 120,232.58/x
  3. Step 3: Cross multiply
    188,287.16x = 259,740.20 × 120,232.58
  4. Step 4: Simplify right side
    188,287.16x = 31,229,234,375.72
  5. Step 5: Solve for x
    x = 31,229,234,375.72/188,287.16
  6. Step 6: Final answer
    x = 165,859.61

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1.5x scale

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.