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Finding the Fourth Proportional to 81,873.92, 122,812.96 and 61,228.48

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Solution

The fourth proportional to 81,873.92, 122,812.96 and 61,228.48 is: 91,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,873.92 : 122,812.96 = 61,228.48 : x
  2. Step 2: Convert to fraction form
    81,873.92/122,812.96 = 61,228.48/x
  3. Step 3: Cross multiply
    81,873.92x = 122,812.96 × 61,228.48
  4. Step 4: Simplify right side
    81,873.92x = 7,519,650,865.10
  5. Step 5: Solve for x
    x = 7,519,650,865.10/81,873.92
  6. Step 6: Final answer
    x = 91,844.28

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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.