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Finding the Fourth Proportional to 76,709.36, 115,061.31 and 26,789.26

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Solution

The fourth proportional to 76,709.36, 115,061.31 and 26,789.26 is: 40,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,709.36 : 115,061.31 = 26,789.26 : x
  2. Step 2: Convert to fraction form
    76,709.36/115,061.31 = 26,789.26/x
  3. Step 3: Cross multiply
    76,709.36x = 115,061.31 × 26,789.26
  4. Step 4: Simplify right side
    76,709.36x = 3,082,407,349.53
  5. Step 5: Solve for x
    x = 3,082,407,349.53/76,709.36
  6. Step 6: Final answer
    x = 40,182.94

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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.