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Finding the Fourth Proportional to 53,800, 74,244 and 30,248

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Solution

The fourth proportional to 53,800, 74,244 and 30,248 is: 41,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,800 : 74,244 = 30,248 : x
  2. Step 2: Convert to fraction form
    53,800/74,244 = 30,248/x
  3. Step 3: Cross multiply
    53,800x = 74,244 × 30,248
  4. Step 4: Simplify right side
    53,800x = 2,245,732,512
  5. Step 5: Solve for x
    x = 2,245,732,512/53,800
  6. Step 6: Final answer
    x = 41,742.24

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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.