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Finding the Fourth Proportional to 81,911.82, 122,845.59 and 35,153.76

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Solution

The fourth proportional to 81,911.82, 122,845.59 and 35,153.76 is: 52,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,911.82 : 122,845.59 = 35,153.76 : x
  2. Step 2: Convert to fraction form
    81,911.82/122,845.59 = 35,153.76/x
  3. Step 3: Cross multiply
    81,911.82x = 122,845.59 × 35,153.76
  4. Step 4: Simplify right side
    81,911.82x = 4,318,484,387.92
  5. Step 5: Solve for x
    x = 4,318,484,387.92/81,911.82
  6. Step 6: Final answer
    x = 52,721.14

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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.