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Finding the Fourth Proportional to 81,904.36, 122,774.46 and 52,355.56

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Solution

The fourth proportional to 81,904.36, 122,774.46 and 52,355.56 is: 78,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,904.36 : 122,774.46 = 52,355.56 : x
  2. Step 2: Convert to fraction form
    81,904.36/122,774.46 = 52,355.56/x
  3. Step 3: Cross multiply
    81,904.36x = 122,774.46 × 52,355.56
  4. Step 4: Simplify right side
    81,904.36x = 6,427,925,607.00
  5. Step 5: Solve for x
    x = 6,427,925,607.00/81,904.36
  6. Step 6: Final answer
    x = 78,480.87

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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.