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Finding the Fourth Proportional to 81,892.92, 112,972.14 and 50,006.64

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Solution

The fourth proportional to 81,892.92, 112,972.14 and 50,006.64 is: 68,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,892.92 : 112,972.14 = 50,006.64 : x
  2. Step 2: Convert to fraction form
    81,892.92/112,972.14 = 50,006.64/x
  3. Step 3: Cross multiply
    81,892.92x = 112,972.14 × 50,006.64
  4. Step 4: Simplify right side
    81,892.92x = 5,649,357,135.01
  5. Step 5: Solve for x
    x = 5,649,357,135.01/81,892.92
  6. Step 6: Final answer
    x = 68,984.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.