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Finding the Fourth Proportional to 81,410.36, 122,114.45 and 36,419.83

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Solution

The fourth proportional to 81,410.36, 122,114.45 and 36,419.83 is: 54,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,410.36 : 122,114.45 = 36,419.83 : x
  2. Step 2: Convert to fraction form
    81,410.36/122,114.45 = 36,419.83/x
  3. Step 3: Cross multiply
    81,410.36x = 122,114.45 × 36,419.83
  4. Step 4: Simplify right side
    81,410.36x = 4,447,387,295.31
  5. Step 5: Solve for x
    x = 4,447,387,295.31/81,410.36
  6. Step 6: Final answer
    x = 54,629.26

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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.