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Finding the Fourth Proportional to 81,792.54, 122,491.89 and 55,417.32

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Solution

The fourth proportional to 81,792.54, 122,491.89 and 55,417.32 is: 82,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,792.54 : 122,491.89 = 55,417.32 : x
  2. Step 2: Convert to fraction form
    81,792.54/122,491.89 = 55,417.32/x
  3. Step 3: Cross multiply
    81,792.54x = 122,491.89 × 55,417.32
  4. Step 4: Simplify right side
    81,792.54x = 6,788,172,265.53
  5. Step 5: Solve for x
    x = 6,788,172,265.53/81,792.54
  6. Step 6: Final answer
    x = 82,992.56

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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.