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Finding the Fourth Proportional to 52,874, 79,311 and 20,042

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Solution

The fourth proportional to 52,874, 79,311 and 20,042 is: 30,063

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,874 : 79,311 = 20,042 : x
  2. Step 2: Convert to fraction form
    52,874/79,311 = 20,042/x
  3. Step 3: Cross multiply
    52,874x = 79,311 × 20,042
  4. Step 4: Simplify right side
    52,874x = 1,589,551,062
  5. Step 5: Solve for x
    x = 1,589,551,062/52,874
  6. Step 6: Final answer
    x = 30,063

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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.