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Finding the Fourth Proportional to 81,465.75, 122,209.56 and 34,729.56

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Solution

The fourth proportional to 81,465.75, 122,209.56 and 34,729.56 is: 52,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465.75 : 122,209.56 = 34,729.56 : x
  2. Step 2: Convert to fraction form
    81,465.75/122,209.56 = 34,729.56/x
  3. Step 3: Cross multiply
    81,465.75x = 122,209.56 × 34,729.56
  4. Step 4: Simplify right side
    81,465.75x = 4,244,284,246.59
  5. Step 5: Solve for x
    x = 4,244,284,246.59/81,465.75
  6. Step 6: Final answer
    x = 52,099.00

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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.