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Finding the Fourth Proportional to 81,992.48, 113,143.92 and 48,452

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Solution

The fourth proportional to 81,992.48, 113,143.92 and 48,452 is: 66,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,992.48 : 113,143.92 = 48,452 : x
  2. Step 2: Convert to fraction form
    81,992.48/113,143.92 = 48,452/x
  3. Step 3: Cross multiply
    81,992.48x = 113,143.92 × 48,452
  4. Step 4: Simplify right side
    81,992.48x = 5,482,049,211.84
  5. Step 5: Solve for x
    x = 5,482,049,211.84/81,992.48
  6. Step 6: Final answer
    x = 66,860.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.