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Finding the Fourth Proportional to 140,934, 211,401 and 42,438

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Solution

The fourth proportional to 140,934, 211,401 and 42,438 is: 63,657

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,934 : 211,401 = 42,438 : x
  2. Step 2: Convert to fraction form
    140,934/211,401 = 42,438/x
  3. Step 3: Cross multiply
    140,934x = 211,401 × 42,438
  4. Step 4: Simplify right side
    140,934x = 8,971,435,638
  5. Step 5: Solve for x
    x = 8,971,435,638/140,934
  6. Step 6: Final answer
    x = 63,657

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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.