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Finding the Fourth Proportional to 49,832, 74,748 and 20,265.92

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Solution

The fourth proportional to 49,832, 74,748 and 20,265.92 is: 30,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,832 : 74,748 = 20,265.92 : x
  2. Step 2: Convert to fraction form
    49,832/74,748 = 20,265.92/x
  3. Step 3: Cross multiply
    49,832x = 74,748 × 20,265.92
  4. Step 4: Simplify right side
    49,832x = 1,514,836,988.16
  5. Step 5: Solve for x
    x = 1,514,836,988.16/49,832
  6. Step 6: Final answer
    x = 30,398.88

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Why These Related Problems?

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