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Finding the Fourth Proportional to 81,219.46, 121,935.30 and 65,217.54

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Solution

The fourth proportional to 81,219.46, 121,935.30 and 65,217.54 is: 97,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,219.46 : 121,935.30 = 65,217.54 : x
  2. Step 2: Convert to fraction form
    81,219.46/121,935.30 = 65,217.54/x
  3. Step 3: Cross multiply
    81,219.46x = 121,935.30 × 65,217.54
  4. Step 4: Simplify right side
    81,219.46x = 7,952,320,305.16
  5. Step 5: Solve for x
    x = 7,952,320,305.16/81,219.46
  6. Step 6: Final answer
    x = 97,911.51

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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.