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Finding the Fourth Proportional to 140,427, 193,789.26 and 76,765.25

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Solution

The fourth proportional to 140,427, 193,789.26 and 76,765.25 is: 105,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,427 : 193,789.26 = 76,765.25 : x
  2. Step 2: Convert to fraction form
    140,427/193,789.26 = 76,765.25/x
  3. Step 3: Cross multiply
    140,427x = 193,789.26 × 76,765.25
  4. Step 4: Simplify right side
    140,427x = 14,876,281,475.69
  5. Step 5: Solve for x
    x = 14,876,281,475.69/140,427
  6. Step 6: Final answer
    x = 105,936.05

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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.