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Finding the Fourth Proportional to 81,930.81, 122,943.98 and 34,542.98

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Solution

The fourth proportional to 81,930.81, 122,943.98 and 34,542.98 is: 51,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.81 : 122,943.98 = 34,542.98 : x
  2. Step 2: Convert to fraction form
    81,930.81/122,943.98 = 34,542.98/x
  3. Step 3: Cross multiply
    81,930.81x = 122,943.98 × 34,542.98
  4. Step 4: Simplify right side
    81,930.81x = 4,246,851,442.26
  5. Step 5: Solve for x
    x = 4,246,851,442.26/81,930.81
  6. Step 6: Final answer
    x = 51,834.61

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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.