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Finding the Fourth Proportional to 140,942, 211,413 and 42,446

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Solution

The fourth proportional to 140,942, 211,413 and 42,446 is: 63,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,942 : 211,413 = 42,446 : x
  2. Step 2: Convert to fraction form
    140,942/211,413 = 42,446/x
  3. Step 3: Cross multiply
    140,942x = 211,413 × 42,446
  4. Step 4: Simplify right side
    140,942x = 8,973,636,198
  5. Step 5: Solve for x
    x = 8,973,636,198/140,942
  6. Step 6: Final answer
    x = 63,669

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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.