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Finding the Fourth Proportional to 76,974.78, 115,372.53 and 32,586.78

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Solution

The fourth proportional to 76,974.78, 115,372.53 and 32,586.78 is: 48,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,974.78 : 115,372.53 = 32,586.78 : x
  2. Step 2: Convert to fraction form
    76,974.78/115,372.53 = 32,586.78/x
  3. Step 3: Cross multiply
    76,974.78x = 115,372.53 × 32,586.78
  4. Step 4: Simplify right side
    76,974.78x = 3,759,619,253.15
  5. Step 5: Solve for x
    x = 3,759,619,253.15/76,974.78
  6. Step 6: Final answer
    x = 48,842.22

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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.