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Finding the Fourth Proportional to 81,303.40, 121,977.10 and 33,902.80

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Solution

The fourth proportional to 81,303.40, 121,977.10 and 33,902.80 is: 50,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,303.40 : 121,977.10 = 33,902.80 : x
  2. Step 2: Convert to fraction form
    81,303.40/121,977.10 = 33,902.80/x
  3. Step 3: Cross multiply
    81,303.40x = 121,977.10 × 33,902.80
  4. Step 4: Simplify right side
    81,303.40x = 4,135,365,225.88
  5. Step 5: Solve for x
    x = 4,135,365,225.88/81,303.40
  6. Step 6: Final answer
    x = 50,863.37

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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.