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Finding the Fourth Proportional to 81,920.40, 122,808.60 and 55,539.60

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Solution

The fourth proportional to 81,920.40, 122,808.60 and 55,539.60 is: 83,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,920.40 : 122,808.60 = 55,539.60 : x
  2. Step 2: Convert to fraction form
    81,920.40/122,808.60 = 55,539.60/x
  3. Step 3: Cross multiply
    81,920.40x = 122,808.60 × 55,539.60
  4. Step 4: Simplify right side
    81,920.40x = 6,820,740,520.56
  5. Step 5: Solve for x
    x = 6,820,740,520.56/81,920.40
  6. Step 6: Final answer
    x = 83,260.59

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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.