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Finding the Fourth Proportional to 76,710, 115,062.24 and 26,789.90

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Solution

The fourth proportional to 76,710, 115,062.24 and 26,789.90 is: 40,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710 : 115,062.24 = 26,789.90 : x
  2. Step 2: Convert to fraction form
    76,710/115,062.24 = 26,789.90/x
  3. Step 3: Cross multiply
    76,710x = 115,062.24 × 26,789.90
  4. Step 4: Simplify right side
    76,710x = 3,082,505,903.38
  5. Step 5: Solve for x
    x = 3,082,505,903.38/76,710
  6. Step 6: Final answer
    x = 40,183.89

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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.