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Finding the Fourth Proportional to 69,142, 103,713 and 19,894

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Solution

The fourth proportional to 69,142, 103,713 and 19,894 is: 29,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,142 : 103,713 = 19,894 : x
  2. Step 2: Convert to fraction form
    69,142/103,713 = 19,894/x
  3. Step 3: Cross multiply
    69,142x = 103,713 × 19,894
  4. Step 4: Simplify right side
    69,142x = 2,063,266,422
  5. Step 5: Solve for x
    x = 2,063,266,422/69,142
  6. Step 6: Final answer
    x = 29,841

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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.