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Finding the Fourth Proportional to 81,893.40, 122,840.10 and 26,489.40

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Solution

The fourth proportional to 81,893.40, 122,840.10 and 26,489.40 is: 39,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,893.40 : 122,840.10 = 26,489.40 : x
  2. Step 2: Convert to fraction form
    81,893.40/122,840.10 = 26,489.40/x
  3. Step 3: Cross multiply
    81,893.40x = 122,840.10 × 26,489.40
  4. Step 4: Simplify right side
    81,893.40x = 3,253,960,544.94
  5. Step 5: Solve for x
    x = 3,253,960,544.94/81,893.40
  6. Step 6: Final answer
    x = 39,734.10

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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.