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Finding the Fourth Proportional to 81,311.52, 121,878.30 and 41,871

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Solution

The fourth proportional to 81,311.52, 121,878.30 and 41,871 is: 62,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,311.52 : 121,878.30 = 41,871 : x
  2. Step 2: Convert to fraction form
    81,311.52/121,878.30 = 41,871/x
  3. Step 3: Cross multiply
    81,311.52x = 121,878.30 × 41,871
  4. Step 4: Simplify right side
    81,311.52x = 5,103,166,299.30
  5. Step 5: Solve for x
    x = 5,103,166,299.30/81,311.52
  6. Step 6: Final answer
    x = 62,760.68

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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.