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Finding the Fourth Proportional to 248,544, 343,023.12 and 147,942

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Solution

The fourth proportional to 248,544, 343,023.12 and 147,942 is: 204,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,544 : 343,023.12 = 147,942 : x
  2. Step 2: Convert to fraction form
    248,544/343,023.12 = 147,942/x
  3. Step 3: Cross multiply
    248,544x = 343,023.12 × 147,942
  4. Step 4: Simplify right side
    248,544x = 50,747,526,419.04
  5. Step 5: Solve for x
    x = 50,747,526,419.04/248,544
  6. Step 6: Final answer
    x = 204,179.25

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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.