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Finding the Fourth Proportional to 140,686, 211,080.84 and 74,123.44

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Solution

The fourth proportional to 140,686, 211,080.84 and 74,123.44 is: 111,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,686 : 211,080.84 = 74,123.44 : x
  2. Step 2: Convert to fraction form
    140,686/211,080.84 = 74,123.44/x
  3. Step 3: Cross multiply
    140,686x = 211,080.84 × 74,123.44
  4. Step 4: Simplify right side
    140,686x = 15,646,037,978.89
  5. Step 5: Solve for x
    x = 15,646,037,978.89/140,686
  6. Step 6: Final answer
    x = 111,212.47

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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.