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Finding the Fourth Proportional to 81,910.53, 122,913.56 and 34,522.72

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Solution

The fourth proportional to 81,910.53, 122,913.56 and 34,522.72 is: 51,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,910.53 : 122,913.56 = 34,522.72 : x
  2. Step 2: Convert to fraction form
    81,910.53/122,913.56 = 34,522.72/x
  3. Step 3: Cross multiply
    81,910.53x = 122,913.56 × 34,522.72
  4. Step 4: Simplify right side
    81,910.53x = 4,243,310,416.08
  5. Step 5: Solve for x
    x = 4,243,310,416.08/81,910.53
  6. Step 6: Final answer
    x = 51,804.21

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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.