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Finding the Fourth Proportional to 76,760, 115,147.04 and 21,356.48

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Solution

The fourth proportional to 76,760, 115,147.04 and 21,356.48 is: 32,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,760 : 115,147.04 = 21,356.48 : x
  2. Step 2: Convert to fraction form
    76,760/115,147.04 = 21,356.48/x
  3. Step 3: Cross multiply
    76,760x = 115,147.04 × 21,356.48
  4. Step 4: Simplify right side
    76,760x = 2,459,135,456.82
  5. Step 5: Solve for x
    x = 2,459,135,456.82/76,760
  6. Step 6: Final answer
    x = 32,036.68

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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.