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Finding the Fourth Proportional to 49,840, 74,760 and 18,689.92

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Solution

The fourth proportional to 49,840, 74,760 and 18,689.92 is: 28,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,840 : 74,760 = 18,689.92 : x
  2. Step 2: Convert to fraction form
    49,840/74,760 = 18,689.92/x
  3. Step 3: Cross multiply
    49,840x = 74,760 × 18,689.92
  4. Step 4: Simplify right side
    49,840x = 1,397,258,419.20
  5. Step 5: Solve for x
    x = 1,397,258,419.20/49,840
  6. Step 6: Final answer
    x = 28,034.88

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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.