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Finding the Fourth Proportional to 140,678, 211,017 and 42,182

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Solution

The fourth proportional to 140,678, 211,017 and 42,182 is: 63,273

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,678 : 211,017 = 42,182 : x
  2. Step 2: Convert to fraction form
    140,678/211,017 = 42,182/x
  3. Step 3: Cross multiply
    140,678x = 211,017 × 42,182
  4. Step 4: Simplify right side
    140,678x = 8,901,119,094
  5. Step 5: Solve for x
    x = 8,901,119,094/140,678
  6. Step 6: Final answer
    x = 63,273

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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.