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Finding the Fourth Proportional to 230,857.20, 346,091.40 and 120,049.20

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Solution

The fourth proportional to 230,857.20, 346,091.40 and 120,049.20 is: 179,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,857.20 : 346,091.40 = 120,049.20 : x
  2. Step 2: Convert to fraction form
    230,857.20/346,091.40 = 120,049.20/x
  3. Step 3: Cross multiply
    230,857.20x = 346,091.40 × 120,049.20
  4. Step 4: Simplify right side
    230,857.20x = 41,547,995,696.88
  5. Step 5: Solve for x
    x = 41,547,995,696.88/230,857.20
  6. Step 6: Final answer
    x = 179,972.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.