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Finding the Fourth Proportional to 140,694, 211,092.84 and 74,131.44

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Solution

The fourth proportional to 140,694, 211,092.84 and 74,131.44 is: 111,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,694 : 211,092.84 = 74,131.44 : x
  2. Step 2: Convert to fraction form
    140,694/211,092.84 = 74,131.44/x
  3. Step 3: Cross multiply
    140,694x = 211,092.84 × 74,131.44
  4. Step 4: Simplify right side
    140,694x = 15,648,616,202.89
  5. Step 5: Solve for x
    x = 15,648,616,202.89/140,694
  6. Step 6: Final answer
    x = 111,224.47

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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.