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Finding the Fourth Proportional to 81,372.96, 122,033.52 and 25,956

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Solution

The fourth proportional to 81,372.96, 122,033.52 and 25,956 is: 38,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,372.96 : 122,033.52 = 25,956 : x
  2. Step 2: Convert to fraction form
    81,372.96/122,033.52 = 25,956/x
  3. Step 3: Cross multiply
    81,372.96x = 122,033.52 × 25,956
  4. Step 4: Simplify right side
    81,372.96x = 3,167,502,045.12
  5. Step 5: Solve for x
    x = 3,167,502,045.12/81,372.96
  6. Step 6: Final answer
    x = 38,925.73

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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.