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Finding the Fourth Proportional to 67,114, 100,671 and 17,866

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Solution

The fourth proportional to 67,114, 100,671 and 17,866 is: 26,799

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,114 : 100,671 = 17,866 : x
  2. Step 2: Convert to fraction form
    67,114/100,671 = 17,866/x
  3. Step 3: Cross multiply
    67,114x = 100,671 × 17,866
  4. Step 4: Simplify right side
    67,114x = 1,798,588,086
  5. Step 5: Solve for x
    x = 1,798,588,086/67,114
  6. Step 6: Final answer
    x = 26,799

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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.