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Finding the Fourth Proportional to 81,903.71, 122,841.86 and 22,745.36

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Solution

The fourth proportional to 81,903.71, 122,841.86 and 22,745.36 is: 34,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903.71 : 122,841.86 = 22,745.36 : x
  2. Step 2: Convert to fraction form
    81,903.71/122,841.86 = 22,745.36/x
  3. Step 3: Cross multiply
    81,903.71x = 122,841.86 × 22,745.36
  4. Step 4: Simplify right side
    81,903.71x = 2,794,081,600.83
  5. Step 5: Solve for x
    x = 2,794,081,600.83/81,903.71
  6. Step 6: Final answer
    x = 34,114.23

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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.