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Finding the Fourth Proportional to 81,914.67, 122,893.47 and 25,752.51

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Solution

The fourth proportional to 81,914.67, 122,893.47 and 25,752.51 is: 38,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,914.67 : 122,893.47 = 25,752.51 : x
  2. Step 2: Convert to fraction form
    81,914.67/122,893.47 = 25,752.51/x
  3. Step 3: Cross multiply
    81,914.67x = 122,893.47 × 25,752.51
  4. Step 4: Simplify right side
    81,914.67x = 3,164,815,186.35
  5. Step 5: Solve for x
    x = 3,164,815,186.35/81,914.67
  6. Step 6: Final answer
    x = 38,635.51

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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.