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Finding the Fourth Proportional to 81,896.96, 122,863.05 and 48,578.01

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Solution

The fourth proportional to 81,896.96, 122,863.05 and 48,578.01 is: 72,877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,896.96 : 122,863.05 = 48,578.01 : x
  2. Step 2: Convert to fraction form
    81,896.96/122,863.05 = 48,578.01/x
  3. Step 3: Cross multiply
    81,896.96x = 122,863.05 × 48,578.01
  4. Step 4: Simplify right side
    81,896.96x = 5,968,442,471.53
  5. Step 5: Solve for x
    x = 5,968,442,471.53/81,896.96
  6. Step 6: Final answer
    x = 72,877.46

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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.