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Finding the Fourth Proportional to 188,192.32, 259,790.88 and 120,302.08

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Solution

The fourth proportional to 188,192.32, 259,790.88 and 120,302.08 is: 166,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,192.32 : 259,790.88 = 120,302.08 : x
  2. Step 2: Convert to fraction form
    188,192.32/259,790.88 = 120,302.08/x
  3. Step 3: Cross multiply
    188,192.32x = 259,790.88 × 120,302.08
  4. Step 4: Simplify right side
    188,192.32x = 31,253,383,229.03
  5. Step 5: Solve for x
    x = 31,253,383,229.03/188,192.32
  6. Step 6: Final answer
    x = 166,071.51

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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.