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Finding the Fourth Proportional to 137,090.70, 189,185.67 and 79,743.78

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Solution

The fourth proportional to 137,090.70, 189,185.67 and 79,743.78 is: 110,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,090.70 : 189,185.67 = 79,743.78 : x
  2. Step 2: Convert to fraction form
    137,090.70/189,185.67 = 79,743.78/x
  3. Step 3: Cross multiply
    137,090.70x = 189,185.67 × 79,743.78
  4. Step 4: Simplify right side
    137,090.70x = 15,086,380,447.63
  5. Step 5: Solve for x
    x = 15,086,380,447.63/137,090.70
  6. Step 6: Final answer
    x = 110,046.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.